THE GROUPS OF AUTOMORPHISMS ARE COMPLETE FOR FREE BURNSIDE GROUPS OF ODD EXPONENTS n ≥ 1003

DOI10.1142/S0218196713500318zbMath1283.20039arXiv1401.0177MaRDI QIDQ2854969

V. S. Atabekyan

Publication date: 24 October 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0177

zbMATH Keywords

inner automorphismsautomorphism groupsfree Burnside groupscomplete groupsautomorphism towers

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (4)

The automorphisms of endomorphism semigroups of relatively free groups ⋮ Automorphism groups and endomorphism semigroups of groups \(B(m,n)\). ⋮ On free groups in the infinitely based varieties of S. I. Adian ⋮ The automorphisms of endomorphism semigroups of free burnside groups

Cites Work

• Characterizing a free group in its automorphism group
• Automorphisms of automorphism groups of free groups
• NORMAL AUTOMORPHISMS OF FREE BURNSIDE GROUPS OF LARGE ODD EXPONENTS
• The Automorphism Group of a Free Group is Complete
• Automorphism sequences of free nilpotent groups of class two
• Characteristic Subgroups and Complete Automorphism Groups
• The Automorphism Tower of a Free Group
• FREE SEMIGROUP IN THE GROUP OF AUTOMORPHISMS OF THE FREE BURNSIDE GROUP

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