Finite groups with conditions on the centralizeps of π-elements

DOI10.1080/00927877908822412zbMath0432.20017OpenAlexW2007068139MaRDI QIDQ3869522

Zvi Arad, David Chillag

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822412

zbMATH Keywords

Frobenius groupsCC-subgroupsconjugated Hall subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

Related Items (6)

A classification of locally finite and profinite groups with a centralizer condition ⋮ On finite factorizable groups ⋮ On a property like Sylow's of some finite groups ⋮ On the product of two finite solvable groups ⋮ Finite groups ⋮ On a theorem of N. Ito on factorizable groups

Cites Work

• On a theorem of N. Ito on factorizable groups
• Products of simple groups
• Doubly transitive groups of odd degree whose one point stabilizers are local
• A sufficient condition on centralizers for a finite group to contain a proper CCT subgroup
• On finite groups containing a CC-subgroup
• Finite groups in which the centralizer of any element of order 2 is 2- closed
• On finite groups which contain a Frobenius subgroup
• Thin finite simple groups
• A classification of groups with a centralizer condition II: Corrigendum and addendum
• Finite Groups the Centralizers of whose involutions have Normal 2-Complements
• Endliche Gruppen I

This page was built for publication: Finite groups with conditions on the centralizeps of π-elements