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searching for Classification of finite simple groups 17 found (243 total)

alternate case: classification of finite simple groups

Component theorem (105 words) [view diff] exact match in snippet view article find links to article

In the mathematical classification of finite simple groups, the component theorem of Aschbacher (1975, 1976) shows that if G is a simple group of odd type

Popular mathematics (939 words) [view diff] no match in snippet view article find links to article

Popular mathematics is mathematical presentation aimed at a general audience. Sometimes this is in the form of books which require no mathematical background

Bernd Fischer (mathematician) (488 words) [view diff] exact match in snippet view article

mathematician. He is best known for his contributions to the classification of finite simple groups, and discovered several of the sporadic groups. He introduced

Gary Seitz (598 words) [view diff] exact match in snippet view article find links to article

20th century mathematics. Seitz made contributions to the classification of finite simple groups, such as those containing standard subgroups of Lie type

O'Nan–Scott theorem (1,336 words) [view diff] exact match in snippet view article find links to article

most influential theorems of permutation group theory; the classification of finite simple groups is what makes it so useful. Originally the theorem was about

L-balance theorem (244 words) [view diff] exact match in snippet view article find links to article

is called Lp-balance, but the proof of this requires the classification of finite simple groups (more precisely the Schreier conjecture). Gorenstein, D

B-theorem (81 words) [view diff] exact match in snippet view article find links to article

of C {\displaystyle C} . Gorenstein, Daniel (1983). The Classification of finite simple groups. New York: Plenum Press. p. 7. ISBN 978-0-306-41305-6. v

Jonathan Lazare Alperin (402 words) [view diff] exact match in snippet view article find links to article

Alperin–Brauer–Gorenstein theorem was proven, giving the classification of finite simple groups with quasi-dihedral Sylow 2-subgroups. Alperin, J. L. (1967)

Stable group (751 words) [view diff] exact match in snippet view article find links to article

followed Borovik’s program of transferring methods used in classification of finite simple groups. One possible source of counterexamples is bad groups: nonsoluble

P-stable group (727 words) [view diff] exact match in snippet view article find links to article

ISSN 0021-8693, MR 0190220 Gorenstein, D. (1979), "The classification of finite simple groups. I. Simple groups and local analysis", Bulletin of the American

Leroy P. Steele Prize (2,239 words) [view diff] case mismatch in snippet view article find links to article

Classification (Plenum Press, 1982); and his two survey articles The Classification of Finite Simple Groups and Classifying the Finite Simple Groups, Bulletin of the

63 (number) (2,199 words) [view diff] exact match in snippet view article

itself (and up to), equivalently its Euler totient. In the classification of finite simple groups of Lie type, 63 and 36 are both exponents that figure in

Ree group (2,067 words) [view diff] exact match in snippet view article find links to article

ISSN 0303-1179, MR 0873958 Gorenstein, D. (1979), "The classification of finite simple groups. I. Simple groups and local analysis", Bulletin of the American

Schur–Zassenhaus theorem (1,414 words) [view diff] exact match in snippet view article find links to article

the Schreier conjecture has only been proved using the classification of finite simple groups, which is far harder than the Feit–Thompson theorem. If

Western culture (13,621 words) [view diff] exact match in snippet view article find links to article

20 June 2022. *Elwes, Richard, "An enormous theorem: the classification of finite simple groups", Plus Magazine, Issue 41, December 2006. Archived 2 February

Dynkin diagram (5,608 words) [view diff] exact match in snippet view article find links to article

groups of Lie type, which are of central importance in the classification of finite simple groups. The Chevalley group construction of Lie groups in terms

Dima Von-Der-Flaass (1,677 words) [view diff] exact match in snippet view article find links to article

interest from specialists and significantly contributed to the classification of finite simple groups at that time. According to his scientific advisor, even