Thin finite simple groups

DOI10.1016/0021-8693(78)90022-4zbMath0418.20008OpenAlexW1970067785WikidataQ60356133 ScholiaQ60356133MaRDI QIDQ755663

Michael Aschbacher

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90022-4

zbMATH Keywords

centralizers of involutions2-local subgroupTi-setscharacteristic 2 typeN-groupspushing up theoremssectional 2-rankthin finite simple group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: sporadic groups (20D08) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

Classifying the finite simple groups ⋮ Finite \(p'\)-semiregular groups ⋮ Overgroups of root groups in classical groups ⋮ On table algebras and applications to finite group theory ⋮ A brief history of the classification of the finite simple groups ⋮ The classification of the finite simple groups ⋮ Galois Groups and the Multiplicative Structure of Field Extensions ⋮ On some examples of simple quantum groups ⋮ A class of finite groups with abelian centralizer of an element of order 3 of type \((3,2,2)\). ⋮ A condition for the existence of a weakly closed TI-set ⋮ On the determination of Sylow numbers ⋮ Extreme pairs for finite groups

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