On finite and locally finite subgroups of free Burnside groups of large even exponents

DOI10.1006/jabr.1996.6941zbMath0918.20031OpenAlexW2164736002MaRDI QIDQ1369273

Alexander Yu. Ol'shanskii, Sergei V. Ivanov

Publication date: 25 May 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6941

zbMATH Keywords

finite subgroupscentralizerslocally finite groupsAbelian subgroupsBurnside problemgroups of even exponentfinitely generated periodic groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Local properties of groups (20E25)

Related Items (6)

Central extensions of \(n\)-torsion groups ⋮ On quasihomomorphisms with noncommutative targets. ⋮ \(n\)-torsion groups ⋮ Periodic groups with one finite nontrivial Sylow 2-subgroup ⋮ Unnamed Item ⋮ On identities in the products of group varieties

Cites Work

• New estimates of odd exponents of infinite Burnside groups.
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Conditional identities in finite groups
• On the Burnside problem on periodic groups
• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS
• On Groups in Which Every Element has Finite Order
• Hyperbolic groups and their quotients of bounded exponents
• Varieties of groups
• On Cancellation in Groups
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