Conditions of finiteness in Aleshin-type groups

DOI10.1007/BF01978559zbMath0799.20035MaRDI QIDQ1191180

A. V. Rozhkov

Publication date: 27 September 1992

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

central seriesAleshin-type groupsbinary finite groupinfinite finitely generated periodic groupsinfinite primenessinfinitely prime group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Related Items (1)

The concept of self-similar automata over a changing alphabet and lamplighter groups generated by such automata

Cites Work

• Some infinite \(p\)-groups
• Subgroups of certain groups of Aleshin type
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