On the Burnside problem on periodic groups

DOI10.1090/S0273-0979-1992-00305-1zbMath0821.20024arXivmath/9210221OpenAlexW1982910691MaRDI QIDQ4020143

Sergei V. Ivanov

Publication date: 16 January 1993

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9210221

zbMATH Keywords

free \(m\)-generated Burnside groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Local properties of groups (20E25) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items

Finitely presented nilsemigroups: complexes with the property of uniform ellipticity ⋮ Turing degrees of nonabelian groups ⋮ General Burnside problem for locally compact groups ⋮ On finite and locally finite subgroups of free Burnside groups of large even exponents ⋮ Groups finitely presented in Burnside varieties ⋮ A semigroup of paths on a sequence of uniformly elliptic complexes ⋮ Hyperbolic groups and their quotients of bounded exponents ⋮ Embedding free Burnside groups in finitely presented groups. ⋮ Finite \(p\)-groups

Cites Work

• SOLUTION OF THE BURNSIDE PROBLEM FOR EXPONENT 6
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