On the commutation graph of cyclic TI-subgroups in linear groups.

DOI10.1134/S0081543812090143zbMath1303.20018MaRDI QIDQ461078

Natal'ya Dmitrievna Zyulyarkina

Publication date: 9 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite groupscommutation graphscyclic TI-subgroupsquasisimple generalized Fitting subgroup

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Special subgroups (Frattini, Fitting, etc.) (20D25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40)

Cites Work

• A note on TI-subgroups
• Finite groups of even order in which Sylow 2-groups are independent
• $ TI$-SUBGROUPS IN GROUPS OF CHARACTERISTIC 2 TYPE
• A REDUCTION THEOREM FOR TI-SUBGROUPS

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