The automorphisms of endomorphism semigroups of free burnside groups

DOI10.1142/S0218196715500149zbMath1318.20038arXiv1503.08786MaRDI QIDQ5256846

V. S. Atabekyan

Publication date: 29 June 2015

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

Full work available at URL: https://arxiv.org/abs/1503.08786

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 (4)

ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS ⋮ Orbits of primitive $k$-homogenous groups on $(n-k)$-partitions with applications to semigroups ⋮ The automorphisms of endomorphism semigroups of relatively free groups ⋮ On free groups in the infinitely based varieties of S. I. Adian

Cites Work

• New estimates of odd exponents of infinite Burnside groups.
• Outer automorphisms of free Burnside groups.
• A question of B. Plotkin about the semigroup of endomorphisms of a free group
• THE GROUPS OF AUTOMORPHISMS ARE COMPLETE FOR FREE BURNSIDE GROUPS OF ODD EXPONENTS n ≥ 1003
• NORMAL AUTOMORPHISMS OF FREE BURNSIDE GROUPS OF LARGE ODD EXPONENTS
• The Automorphism Group of a Free Group is Complete
• FREE SEMIGROUP IN THE GROUP OF AUTOMORPHISMS OF THE FREE BURNSIDE GROUP
• Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup

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