The construction of infinite finitely generated periodic groups using wreath products

DOI10.1016/0021-8693(88)90287-6zbMath0641.20031OpenAlexW2061683212MaRDI QIDQ1100561

Martyn R. Dixon, Thomas A. Fournelle

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90287-6

zbMATH Keywords

generatorsgeneralized wreath products2-generated periodic groupinfinite periodic \(\pi \)-groupresidually finite locally soluble FC-\(\pi \)-group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26) Local properties of groups (20E25)

Cites Work

• Some infinite \(p\)-groups
• On the Burnside problem for periodic groups
• Wreath products indexed by partially ordered sets
• On Burnside's problem on periodic groups
• Finite automata and Burnside's problem for periodic groups
• Contributions to Group Theory
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