On Power Subgroups of Profinite Groups

DOI10.2307/2155003zbMath0823.20028OpenAlexW4253266785MaRDI QIDQ4316972

Consuelo Martínez

Publication date: 19 December 1994

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

Full work available at URL: https://doi.org/10.2307/2155003

zbMATH Keywords

exponentfinite simple groupsfinitely generated profinite groupssolvable groupsclosed subgroupsrestricted Burnside problem\(n\)th powersfinite \(m\)-generator groupsfinitely generated pro-(finite-nilpotent) groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25) Limits, profinite groups (20E18)

Related Items (4)

ON PROFINITE GROUPS WHOSE POWER SUBGROUPS ARE CLOSED ⋮ The exponent of finite groups ⋮ Products of powers in finite simple groups ⋮ Residual finiteness, QCERF and fillings of hyperbolic groups.

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