On periodic groups of odd period \(n\geq 1003\).

DOI10.1134/S0001434607090179zbMath1152.20034MaRDI QIDQ942067

V. S. Atabekyan

Publication date: 3 September 2008

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

zbMATH Keywords

relationsmaximal subgroupsgeneratorsgroups of bounded periodAdyan-Lysenok theoremcontinuum of non-isomorphic periodic groupsfinitely generated periodic simple groupsvarieties of groups of given exponent

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Generators, relations, and presentations of groups (20F05)

Related Items (10)

On upper bounds for the first ℓ²-Betti number ⋮ \(C^\ast\)-simplicity of \(n\)-periodic products ⋮ Unnamed Item ⋮ Non-\(\varphi\)-admissible normal subgroups of free Burnside groups. ⋮ The normalizers of free subgroups in free Burnside groups of odd period \(n\geq 1003\). ⋮ Automorphism groups and endomorphism semigroups of groups \(B(m,n)\). ⋮ Uniform nonamenability of subgroups of free Burnside groups of odd period. ⋮ Splitting automorphisms of free Burnside groups ⋮ Monomorphisms of free Burnside groups. ⋮ Splitting automorphisms of order \(p^k\) of free Burnside groups are inner.

Cites Work

• Generating groups of certain product varieties
• Varieties of groups
• A Finitely Generated Infinite Simple Group
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