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Vi Hart
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delightfully profound". Together with Henry Segerman, Hart wrote "The Quaternion Group as a Symmetry Group", which was included in the anthology The BestHenry Segerman (961 words) [view diff] case mismatch in snippet view article find links to article
visualization & art. Papers published in this area include: 2014 "The Quaternion Group as a Symmetry Group", [with Vi Hart], Proceedings of Bridges 2014:Michio Suzuki (mathematician) (549 words) [view diff] exact match in snippet view article
(1959). "On finite groups of even order whose 2-Sylow group is a quaternion group". Proc. Natl. Acad. Sci. USA. 45 (12): 1757–1759. Bibcode:1959PNASMichio Suzuki (mathematician) (549 words) [view diff] exact match in snippet view article
(1959). "On finite groups of even order whose 2-Sylow group is a quaternion group". Proc. Natl. Acad. Sci. USA. 45 (12): 1757–1759. Bibcode:1959PNAS3-transposition group (3,468 words) [view diff] exact match in snippet view article find links to article
while for n=2 it is S3 and for n=3 it has the structure 32:Q8 (Q8 = quaternion group). Both SUn(2) and PSUn(2) are 3-transposition groups for n=2 and forHasse–Arf theorem (947 words) [view diff] exact match in snippet view article find links to article
gave an example of a totally ramified extension with Galois group the quaternion group Q 8 {\displaystyle Q_{8}} of order 8 with G 0 = Q 8 {\displaystyleZappa–Szép product (1,290 words) [view diff] exact match in snippet view article find links to article
be realized as Zappa–Szép products of proper subgroups, such as the quaternion group and the alternating group of degree 6. As with the direct and semidirectQuaternion Society (1,423 words) [view diff] case mismatch in snippet view article find links to article
Mathematik", Monatshefte für Mathematik 10(1):376 P.R. Girard (1984) "The Quaternion Group and Modern Physics", European Journal of Physics 5:25–32 M. J. Crowe24-cell (30,624 words) [view diff] exact match in snippet view article find links to article
represented by quaternion group q 7 {\displaystyle q7} and a corresponding set of 16 great hexagon planes represented by quaternion group q 8 {\displaystyleCayley graph (4,692 words) [view diff] exact match in snippet view article find links to article
m,n\in \mathbb {Z} _{\geq 0}} and Q 8 {\displaystyle Q_{8}} is the quaternion group. The proof relies on two important properties of Cayley integral groups:List of finite simple groups (1,789 words) [view diff] exact match in snippet view article find links to article
solvable group 2A2(22) is isomorphic to an extension of the order 8 quaternion group by an elementary abelian group of order 9. 2A2(32) is isomorphic toInvariant extended Kalman filter (2,610 words) [view diff] exact match in snippet view article find links to article
is often used as an ad hoc trick to preserve the constraints of the quaternion group. The benefits of the IEKF compared to the EKF are experimentally shownHistory of Lorentz transformations (15,390 words) [view diff] exact match in snippet view article find links to article
Bibcode:1986AmJPh..54..416F. doi:10.1119/1.14605. Girard, P. R. (1984). "The quaternion group and modern physics". European Journal of Physics. 5 (1): 25–32. Bibcode:1984EJPhArtin transfer (group theory) (28,815 words) [view diff] exact match in snippet view article
{\displaystyle 1} and class c = 2 {\displaystyle c=2} , the ordinary quaternion group G = G 0 3 ( 0 , 1 ) {\displaystyle G=G_{0}^{3}(0,1)} with TKT ϰ = (