On centralizers in locally finite groups

DOI10.1006/JABR.2001.8871zbMath0992.20030OpenAlexW2060366507MaRDI QIDQ5949396

P. V. Shumyatskij

Publication date: 8 September 2002

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

Full work available at URL: https://semanticscholar.org/paper/69025c0117a59862bb8f8044d41930c6d994407c

zbMATH Keywords

locally finite groupsfinite \(p\)-subgroupslocally soluble normal subgroups of finite indexnilpotent subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50)

Related Items (4)

On locally finite groups with a four-subgroup whose centralizer is small. ⋮ On the structure of locally finite groups with small centralizers. ⋮ On locally finite groups with a small centralizer of a four-subgroup. ⋮ Locally finite groups and their subgroups with small centralizers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A general Brauer-Fowler theorem and centralizers in locally finite groups
• Embeddings of finite Chevalley groups and periodic linear groups
• The classification of the simple periodic linear groups
• Bounding the exponent of a finite group with automorphisms
• Involutory automorphisms of finite groups and their centralizers
• Strong finiteness conditions in locally finite groups
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
• On Frobenius' conjecture
• LIE RINGS AND LIE GROUPS ADMITTING AN ALMOST REGULAR AUTOMORPHISM OF PRIME ORDER
• UPPER BOUNDS IN THE RESTRICTED BURNSIDE PROBLEM II
• FINITE $ p$-GROUPS ADMITTING $ p$-AUTOMORPHISMS WITH FEW FIXED POINTS

This page was built for publication: On centralizers in locally finite groups