Profinite Groups with Restricted Centralizers

DOI10.2307/2161199zbMath0822.20031OpenAlexW4235382063MaRDI QIDQ4318363

Aner Shalev

Publication date: 9 October 1995

Full work available at URL: https://doi.org/10.2307/2161199

zbMATH Keywords

FC-centrefinite-by-abelian groupsabelian-by-finite groupsprofinite FC-groupsrestricted centralizers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Compact groups (22C05) Limits, profinite groups (20E18) FC-groups and their generalizations (20F24)

Related Items (16)

A finiteness condition on centralizers in locally finite groups ⋮ Groups with restrictions on infinite conjugacy classes ⋮ Profinite groups with restricted centralizers of \(\pi\)-elements ⋮ Finite-by-nilpotent groups and a variation of the BFC-theorem ⋮ On the (crossed) Burnside ring of profinite groups ⋮ Commutators, centralizers, and strong conciseness in profinite groups ⋮ Almost Engel compact groups ⋮ Unnamed Item ⋮ Centralizers in pseudo-finite groups ⋮ Compact groups in which all elements are almost right Engel ⋮ The influence of the complete nonexterior square graph on some infinite groups ⋮ A survey on groups with some restrictions on normalizers or centralizers ⋮ A stronger form of Neumann's BFC-theorem ⋮ Profinite groups with restricted centralizers of commutators ⋮ A note on groups with restrictions on centralizers of in nite index ⋮ Almost regular automorphisms

Cites Work

• Nilpotent groups and their automorphisms
• Space groups and groups of prime-power order. I
• Finite soluble groups containing an element of prime order whose centralizer is small
• On almost fixed point free automorphisms
• On periodic compact groups
• On the structure of compact torsion groups
• On variants of \(o\)-minimality
• Groups Covered By Permutable Subsets
• Unnamed Item
• Unnamed Item
• Unnamed Item

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