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searching for discrete group 67 found (126 total)

Superstrong approximation (515 words) [view diff] exact match in snippet view article find links to article

that of the Laplacian matrix associated to a family of quotients of a discrete group Γ; and the gap is that between the first and second eigenvalues (normalisation

Hopf surface (869 words) [view diff] exact match in snippet view article find links to article

C2∖{0}{\displaystyle \mathbb {C} ^{2}\setminus \{0\}} by a free action of a discrete group. If this group is the integers the Hopf surface is called primary, otherwise

Poisson boundary (2,290 words) [view diff] exact match in snippet view article find links to article

space D {\displaystyle \mathbb {D} } . Let G {\displaystyle G} be a discrete group and μ {\displaystyle \mu } a probability measure on G {\displaystyle

Automorphism group of a free group (368 words) [view diff] exact match in snippet view article find links to article

mathematical group theory, the automorphism group of a free group is a discrete group of automorphisms of a free group. The quotient by the inner automorphisms

Nhaawuparlku (368 words) [view diff] exact match in snippet view article find links to article

Frederic Bonney, familiar with the area's tribes, treated them as a discrete group. Bungyarlee Nawalko Ngunnhalgu Ngunnhlgri (This is a misprint) Nhaawuparlku

Dendrolycopodium (214 words) [view diff] exact match in snippet view article find links to article

section Obscura when retained within Lycopodium. The genus includes a discrete group of plants with similar morphologies. All have erect to semi-erect, branched

Global anomaly (445 words) [view diff] exact match in snippet view article find links to article

locally via infinitesimal transformations. For example, all features of a discrete group (as opposed to a Lie group) are global in character. A famous example

Algebraic space (1,588 words) [view diff] exact match in snippet view article find links to article

an algebraic space by a discrete group acting freely is an algebraic space, but the quotient of a scheme by a discrete group acting freely need not be

Von Neumann algebra (5,930 words) [view diff] exact match in snippet view article find links to article

Connes then showed that the von Neumann group algebra of a countable discrete group with Kazhdan's property (T) (the trivial representation is isolated

Kazhdan's property (T) (1,743 words) [view diff] exact match in snippet view article

(T). If G has property (T) then G/[G, G] is compact. Any countable discrete group with property (T) is finitely generated. An amenable group which has

Geometric finiteness (433 words) [view diff] exact match in snippet view article find links to article

of cusps, and all but finitely many sides meet one of the cusps. A discrete group G of isometries of hyperbolic space is called geometrically finite if

Hyperbolic manifold (670 words) [view diff] exact match in snippet view article find links to article

{H} ^{n}/\Gamma } where Γ{\displaystyle \Gamma } is a torsion-free discrete group of isometries on Hn{\displaystyle \mathbb {H} ^{n}}. That is, Γ{\displaystyle

Boletales (1,054 words) [view diff] exact match in snippet view article find links to article

Sclerodermataceae, Boletinellaceae and Gyroporaceae appear to form a discrete group within the Boletales, and together with the Pisolithaceae, and the Astraceae

Orbifold (10,163 words) [view diff] exact match in snippet view article find links to article

Riemannian n-manifold with a cocompact proper isometric action of a discrete group Γ, then the orbit space X = M/Γ has natural orbifold structure: for

Crossed product (1,611 words) [view diff] exact match in snippet view article find links to article

Neumann algebra of operators acting on a Hilbert space H and G is a discrete group acting on A. We let K be the Hilbert space of all square summable H-valued

Free independence (658 words) [view diff] no match in snippet view article find links to article

the group algebra A=CΓ{\displaystyle A=\mathbb {C} \Gamma } of a (discrete) group Γ{\displaystyle \Gamma } with the functional ϕ{\displaystyle \phi }

Strict scrutiny (1,449 words) [view diff] exact match in snippet view article find links to article

exhibit obvious, immutable, or distinguishing characteristics that define them as a discrete group; and they are not a minority, or politically powerless.

Nerve (category theory) (1,361 words) [view diff] exact match in snippet view article

direct generalization of the classical notion of classifying space of a discrete group; see below for details. Let C be a small category. There is a 0-simplex

Kaleidoscope (2,481 words) [view diff] exact match in snippet view article find links to article

FrancePages displaying wikidata descriptions as a fallback Reflection group – discrete group which is generated by a set of reflections of some spacePages displaying

Wren's Egg (483 words) [view diff] exact match in snippet view article find links to article

stones which appear to have been constructed as an intervisible and discrete group are less common. These standing stones survive within an area that has

Group cohomology (9,794 words) [view diff] exact match in snippet view article find links to article

are closely related to topological ideas. The group cohomology of a discrete group G is the singular cohomology of a suitable space having G as its fundamental

Fundamental group (8,064 words) [view diff] exact match in snippet view article find links to article

actions on these three surfaces. The quotient of a free action of a discrete group G on a simply connected space Y has fundamental group π 1 ( Y / G )

Vanir (3,729 words) [view diff] exact match in snippet view article find links to article

there is good reason for maintaining the importance of the vanir as a discrete group of divine beings. I would even venture to suggest that—far from being

Fund administration (1,028 words) [view diff] exact match in snippet view article find links to article

court also held that plaintiffs adequately alleged that there was a discrete group of potential investors who were known parties to the Administrators

Pontryagin duality (5,794 words) [view diff] exact match in snippet view article find links to article

multiplicative identity element if and only if G {\displaystyle G} is a discrete group, namely the function that is 1 at the identity and zero elsewhere. In

Verschiebung operator (287 words) [view diff] exact match in snippet view article find links to article

the pth power homomorphism of an abelian group scheme. If G is the discrete group with n elements over the finite field Fp of order p, then the Frobenius

Wandering set (943 words) [view diff] exact match in snippet view article find links to article

Ω {\displaystyle \Omega } is a wandering set under the action of a discrete group Γ {\displaystyle \Gamma } if W is measurable and if, for any γ ∈ Γ −

Quasi-separated morphism (415 words) [view diff] exact match in snippet view article find links to article

points in each copy. The quotient of an algebraic space by an infinite discrete group acting freely is often not quasi-separated. For example, if K is a field

Particle physics and representation theory (2,695 words) [view diff] exact match in snippet view article find links to article

it may still be true that the group admits a central extension by a discrete group. But extensions of G {\displaystyle G} by discrete groups are covers

Kummer theory (1,891 words) [view diff] exact match in snippet view article find links to article

then Gal⁡(L/K){\displaystyle \operatorname {Gal} (L/K)} is a finite discrete group and we have Δ≅Hom⁡(Gal⁡(L/K),μn)≅Gal⁡(L/K),{\displaystyle \Delta \cong

Hyperfinite type II factor (499 words) [view diff] exact match in snippet view article find links to article

the infinite one is also unique. The von Neumann group algebra of a discrete group with the infinite conjugacy class property is a factor of type II1,

Conformal geometry (3,351 words) [view diff] exact match in snippet view article find links to article

certain model conformally flat space (up to taking universal covers and discrete group quotients). The general theory of conformal geometry is similar, although

Andrei Polyanin (659 words) [view diff] exact match in snippet view article find links to article

the methods of generalized and functional separation of variables, discrete group approach, functional constraints method, asymptotic analogies method

Cayley graph (4,630 words) [view diff] exact match in snippet view article find links to article

the form of Kazhdan property (T). The following statement holds: If a discrete group G {\displaystyle G} has Kazhdan's property (T), and S {\displaystyle

Christian fundamentalism (7,440 words) [view diff] exact match in snippet view article find links to article

ISBN 978-0-87972-190-9. Hence it is impossible to speak of fundamentalists as a discrete group. Rather, one must speak of fundamentalist Baptists, fundamentalist Methodists

Profinite group (2,591 words) [view diff] exact match in snippet view article find links to article

an easy corollary of the Nikolov–Segal result above, any surjective discrete group homomorphism φ : G → H {\displaystyle \varphi :G\to H} between profinite

Algebraic variety (5,757 words) [view diff] exact match in snippet view article find links to article

symmetric domain D {\displaystyle D} by an action of an arithmetic discrete group Γ {\displaystyle \Gamma } . A basic example of D / Γ {\displaystyle

Kyoji Saito (633 words) [view diff] exact match in snippet view article find links to article

Speaker with talk The limit element in the configuration algebra for a discrete group: a précis at the International Congress of Mathematicians 1990 in Kyoto

Surface of class VII (892 words) [view diff] exact match in snippet view article find links to article

are 0. Hodge diamond: Hopf surfaces are quotients of C2−(0,0) by a discrete group G acting freely, and have vanishing second Betti numbers. The simplest

Sasanian Empire (19,961 words) [view diff] exact match in snippet view article find links to article

as the pushtigban. On other occasions, the king was protected by a discrete group of palace guards, known as the darigan. Both of these groups were enlisted

Lie group–Lie algebra correspondence (4,464 words) [view diff] exact match in snippet view article find links to article

{g}}\to G} is a surjective group homomorphism. The kernel of it is a discrete group (since the dimension is zero) called the integer lattice of G and is

Boundedly generated group (1,764 words) [view diff] exact match in snippet view article find links to article

generated torsion group is not boundedly generated. A pseudocharacter on a discrete group G is defined to be a real-valued function f on a G such that f(gh) −

Čech cohomology (3,381 words) [view diff] exact match in snippet view article find links to article

is compact Hausdorff, then Čech cohomology (with coefficients in a discrete group) is isomorphic to Alexander-Spanier cohomology. For a presheaf F {\displaystyle

Cortinarius caperatus (2,195 words) [view diff] exact match in snippet view article find links to article

Agrocybe). Genetic analysis in 2000 and 2002 showed that Rozites was not a discrete group and its members were nested within Cortinarius. This fungus was found

Fourier algebra (937 words) [view diff] case mismatch in snippet view article find links to article

Stable URL:[1] "Functions which Operate in the Fourier Algebra of a Discrete Group" Leonede de Michele; Paolo M. Soardi, Proceedings of the American Mathematical

Atiyah–Singer index theorem (7,455 words) [view diff] exact match in snippet view article find links to article

extend the index theorem to some non-compact manifolds, acted on by a discrete group with compact quotient. The kernel of the elliptic operator is in general

Bogomolov–Miyaoka–Yau inequality (1,151 words) [view diff] exact match in snippet view article find links to article

unit ball in C 2 {\displaystyle {\mathbb {C} }^{2}} by an infinite discrete group. Examples of surfaces satisfying this equality are hard to find. Borel

Michael Atiyah (8,725 words) [view diff] exact match in snippet view article find links to article

extend the index theorem to some non-compact manifolds, acted on by a discrete group with compact quotient. The kernel of the elliptic operator is in general

Ficus americana (1,144 words) [view diff] exact match in snippet view article find links to article

but have strongly supported the validity of section Americana as a discrete group (although its exact relationship to section Galoglychia is unclear)

Ficus aurea (4,330 words) [view diff] exact match in snippet view article find links to article

but have strongly supported the validity of section Americana as a discrete group (although its exact relationship to section Galoglychia is unclear)

Equivariant cohomology (1,813 words) [view diff] exact match in snippet view article find links to article

precisely the classifying space B G {\displaystyle B{\mathcal {G}}} of the discrete group G {\displaystyle {\mathcal {G}}} . One can define the moduli stack of

Holonomy (5,870 words) [view diff] exact match in snippet view article find links to article

_{p}^{0}(\omega )} (which is a normal subgroup of the full holonomy group). The discrete group Hol p ⁡ ( ω ) / Hol p 0 ⁡ ( ω ) {\displaystyle \operatorname {Hol} _{p}(\omega

Heisenberg group (5,894 words) [view diff] exact match in snippet view article find links to article

the same Lie algebra as G are of the form G/N where N is a central discrete group in G. In this case, the center of H(V) is R and the only discrete subgroups

Imperial pigeon (3,449 words) [view diff] exact match in snippet view article find links to article

similar grey pigeon, but found in Timor. The pied imperial pigeons form a discrete group of large white pigeons with black wingtips, found in New Guinea and

Inoue surface (1,184 words) [view diff] exact match in snippet view article find links to article

C × H {\displaystyle \mathbb {C} \times \mathbb {H} } by a solvable discrete group which acts holomorphically on C × H . {\displaystyle \mathbb {C} \times

Samuel James Patterson (1,503 words) [view diff] exact match in snippet view article find links to article

August 15, 2022 Sullivan, Dennis (1979). "The density at infinity of a discrete group of hyperbolic motions". Publications Mathématiques de l'IHÉS. 50: 171–202

Arthur–Selberg trace formula (2,147 words) [view diff] exact match in snippet view article find links to article

the Lie group with an adelic group G(A). One reason for this that the discrete group can be taken as the group of points G(F) for F a (global) field, which

Burial in Anglo-Saxon England (6,884 words) [view diff] exact match in snippet view article find links to article

squeezed out. Secondly, separation: the Final Phase burial grounds are a discrete group of cemeteries. Thirdly, succession: the cemeteries replace a nearby

Schwarz triangle (10,972 words) [view diff] exact match in snippet view article find links to article

or Lobachevsky plane H 2 {\displaystyle {\mathfrak {H}}^{2}} . The discrete group Γ acts discontinuously on G / K: the quotient space Γ \ G / K is compact

Thomas Schick (877 words) [view diff] exact match in snippet view article find links to article

with Wolfgang Lück, introduced the strong Atiyah conjecture. Given a discrete group G, the Atiyah conjecture states that the L 2 {\displaystyle L^{2}} -Betti

Christopher Deninger (3,515 words) [view diff] exact match in snippet view article find links to article

X_{f}:=(\mathbf {Z} \Gamma /\mathbf {Z} \Gamma f){\widehat {\ }}\ ,} where Γ is a discrete group, f is an element of its group ring ZΓ, and the hat denotes the Pontryagin

Fréchet algebra (3,459 words) [view diff] exact match in snippet view article find links to article

Convolution algebra of rapidly vanishing functions on a finitely generated discrete group. Let G {\displaystyle G} be a finitely generated group, with the discrete

Homeschooling international status and statistics (10,443 words) [view diff] exact match in snippet view article find links to article

1101(a)(42)(A). There is a difference between the persecution of a discrete group and the prosecution of those who violate a generally applicable law

City Protocol (566 words) [view diff] exact match in snippet view article find links to article

that will span some 18 months: Stage 1, to July 2012: will enroll a discrete group of core Cities, Institutions, Industry, and Academia to agree the need

Uniformly bounded representation (3,555 words) [view diff] exact match in snippet view article find links to article

πs is unitarizable only if τ = 0. The group G = SL(2,R) contains the discrete group Γ = SL(2,Z) as a closed subgroup of finite covolume, since this subgroup

Maass wave form (8,501 words) [view diff] exact match in snippet view article find links to article

unimodular and since the counting measure is a Haar-measure on the discrete group Γ {\displaystyle \Gamma } , Γ {\displaystyle \Gamma } is also unimodular

Lacritin (4,892 words) [view diff] exact match in snippet view article find links to article

glands. The salivary gland expression appears to be attributable to a discrete group of unidentified ductal-like cells. Some lacritin was reported in lung