Splitting automorphisms of order \(p^k\) of free Burnside groups are inner.

DOI10.1134/S0001434614050022zbMath1315.20030arXiv1403.6798OpenAlexW2343510160MaRDI QIDQ2342017

V. S. Atabekyan

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6798

zbMATH Keywords

inner automorphismsfree Burnside groupssplitting automorphismsprime power order automorphisms

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Automorphisms of infinite groups (20E36)

Related Items (2)

Automorphism groups and endomorphism semigroups of groups \(B(m,n)\). ⋮ Periodic products of groups

Cites Work

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• Groups admitting a \(4\)-splitting automorphism
• Splitting automorphisms of free Burnside groups
• Normal automorphisms of free Burnside groups
• The Burnside problem and related topics
• ON GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC

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