Monomorphisms of free Burnside groups.

DOI10.1134/S0001434609090211zbMath1200.20028OpenAlexW2035242286MaRDI QIDQ1048594

V. S. Atabekyan

Publication date: 12 January 2010

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

Full work available at URL: https://doi.org/10.1134/s0001434609090211

zbMATH Keywords

2-generator subgroupsresidually finite groupsfree Burnside groupsuniformly nonamenable groupsHopfian groupsTarski monster

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (6)

POWERS OF SUBSETS IN FREE PERIODIC GROUPS ⋮ On the product of subsets in periodic groups ⋮ Finite subgroups of the relatively free \(n\)-torsion groups ⋮ On CEP-subgroups of \(n\)-periodic products. ⋮ Periodic products of groups ⋮ On normal subgroups in the periodic products of S. I. Adyan.

Cites Work

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• Uniform non-amenability of free Burnside groups
• On periodic groups of odd period \(n\geq 1003\).
• Uniform nonamenability of subgroups of free Burnside groups of odd period.
• Non-amenable finitely presented torsion-by-cyclic groups.
• On subgroups of free Burnside groups of large odd exponent.
• Schreier varieties of groups
• Uniform non-amenability
• CEP-Subgroups of Free Burnside Groups of Large Odd Exponents
• Varieties of groups

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