On free groups in the infinitely based varieties of S. I. Adian

DOI10.1070/IM8631zbMath1436.20044OpenAlexW2596709249MaRDI QIDQ3130359

S. I. Adyan, V. S. Atabekyan

Publication date: 22 January 2018

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8631

zbMATH Keywords

automorphism groupself-centralizing subgroupfree Burnside groupsemigroup of endomorphismsinfinitely based variety

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10)

Related Items (10)

ON SCHUR MULTIPLIERS OF SOME RELATIVELY FREE GROUPS ⋮ Central extensions of \(n\)-torsion groups ⋮ \(n\)-torsion groups ⋮ THE SET OF 2-GENERETED $C^*$-SIMPLE RELATIVELY FREE GROUPS HAS THE CARDINALITY OF THE CONTINUUM ⋮ Normal automorphisms of free groups of infinitely based varieties ⋮ Finite subgroups of the relatively free \(n\)-torsion groups ⋮ Central extensions of free periodic groups ⋮ The automorphisms of endomorphism semigroups of relatively free groups ⋮ Periodic products of groups ⋮ Questions in algebra and mathematical logic. Scientific heritage of S. I. Adian

Cites Work

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• New estimates of odd exponents of infinite Burnside groups.
• A question of B. Plotkin about the semigroup of endomorphisms of a free group
• Characteristic random subgroups of geometric groups and free abelian groups of infinite rank
• THE GROUPS OF AUTOMORPHISMS ARE COMPLETE FOR FREE BURNSIDE GROUPS OF ODD EXPONENTS n ≥ 1003
• The Automorphism Group of a Free Group is Complete
• Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup
• The automorphisms of endomorphism semigroups of free burnside groups
• Periodic products of groups

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