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

DOI10.1007/S10469-015-9322-0zbMath1323.20031OpenAlexW1975388783MaRDI QIDQ498295

V. S. Atabekyan

Publication date: 28 September 2015

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-015-9322-0

zbMATH Keywords

automorphism groupsendomorphism semigroupsfree Burnside groups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Periodic groups; locally finite groups (20F50) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Mappings of semigroups (20M15)

Related Items (1)

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Cites Work

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• Groups of bounded period with subgroups of prime order
• On a question in the Kourovka notebook.
• On periodic groups of odd period \(n\geq 1003\).
• Splitting automorphisms of order \(p^k\) of free Burnside groups are inner.
• On normal subgroups in the periodic products of S. I. Adyan.
• A question of B. Plotkin about the semigroup of endomorphisms of a free group
• Splitting automorphisms of free Burnside groups
• THE GROUPS OF AUTOMORPHISMS ARE COMPLETE FOR FREE BURNSIDE GROUPS OF ODD EXPONENTS n ≥ 1003
• Normal automorphisms of free Burnside groups
• NORMAL AUTOMORPHISMS OF FREE BURNSIDE GROUPS OF LARGE ODD EXPONENTS
• On subgroups of free Burnside groups of odd exponent $ n\ge 1003$
• The Automorphism Group of a Free Group is Complete
• The Automorphism Tower of a Free Group

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