The structure of non-nilpotent CTI-groups

DOI10.1515/JGT-2012-0037zbMath1286.20016OpenAlexW2146181330MaRDI QIDQ2842799

Tahereh Rastgoo, Hamid Mousavi, Viktor Ivanovich Zenkov

Publication date: 16 August 2013

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10995/26803

zbMATH Keywords

finite groupsSylow subgroupsFitting subgroupTI-setstrivial intersection groupsnon-solvable CTI-groupssolvable CTI-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) General structure theorems for groups (20E34) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (5)

Finite nilpotent groups whose cyclic subgroups are TI-subgroups ⋮ Invariant TI-subgroups or subnormal subgroups and structure of finite groups ⋮ Characterization of finite groups by the number of non-cyclic non-TI-subgroups ⋮ Finite groups in which every non-abelian subgroup is a TI-subgroup or a subnormal subgroup ⋮ Simple groups the derived subgroups of all of whose subgroups are TI-subgroups

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