Uniform nonamenability of subgroups of free Burnside groups of odd period.

DOI10.1134/S0001434609030213zbMath1213.20036MaRDI QIDQ1033956

V. S. Atabekyan

Publication date: 10 November 2009

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

zbMATH Keywords

hyperbolic groupsperiodic groupsamenable groupsfree Burnside groupsuniformly nonamenable groupsuniform exponential growthFølner constantfree periodic subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Means on groups, semigroups, etc.; amenable groups (43A07) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (9)

POWERS OF SUBSETS IN FREE PERIODIC GROUPS ⋮ \(C^\ast\)-simplicity of \(n\)-periodic products ⋮ Growth of periodic quotients of hyperbolic groups ⋮ On the product of subsets in periodic groups ⋮ The normalizers of free subgroups in free Burnside groups of odd period \(n\geq 1003\). ⋮ Periodic products of groups ⋮ On normal subgroups in the periodic products of S. I. Adyan. ⋮ Monomorphisms of free Burnside groups. ⋮ Product set growth in Burnside groups

Cites Work

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• Uniform non-amenability of free Burnside groups
• On periodic groups of odd period \(n\geq 1003\).
• Uniform growth in hyperbolic groups
• Explicit Kazhdan constants for representations of semisimple and arithmetic groups
• Uniform growth in groups of exponential growth
• Uniform non-amenability
• On groups with full Banach mean value
• Weakly amenable groups
• Folner's Conditions for Amenable Semi-Groups.
• Means and Følner condition on locally compact groups

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