On transitive permutation groups in which a 2-central involution fixes a unique point

DOI10.1080/00927877908822342zbMath0407.20001OpenAlexW1993366029MaRDI QIDQ4193643

Fredrick L. Smith

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822342

zbMATH Keywords

B(G)-ConjectureLong And 2-Central InvolutionsQuasisimple 2-ComponentsSignalizer Functor

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Characterization theorems for permutation groups (20B10)

Related Items

A characterization of orthogonal groups over GF(2), A characterization of finite Chevalley and twisted groups of type E over GF(2), Moufang sets generated by translations in unitals, A characterization of some Chevalley groups in characteristic two, Finite groups of rank 3. II, Finite groups, The classification of finite simple groups I. Simple groups and local analysis, A note on an aschbacher theorem

Cites Work

• Balance and generation in finite groups
• On finite simple groups \(G\) in which every element of \(\mathcal L(G)\) is of Bender type
• Standard components of alternating type. I
• Central elements in core-free groups
• On the automorphism group of a finite group having no non-identity normal subgroups of odd order
• Transitive Permutation Groups in Which an Involution Central in a Sylow 2-Subgroup Fixes a Unique Point