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The structure of free prosupersolvable groups

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Publication:791640
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DOI10.1016/0021-8693(83)90147-3zbMath0536.20016OpenAlexW2016188278MaRDI QIDQ791640

John Howard Smith

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90147-3

zbMATH Keywords

number of generatorsSylow p-subgroupsprosupersolvable \(\Pi\)-groupssemidirect products of free pro-p-groups


Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Limits, profinite groups (20E18)


Related Items

Schreier’s formula for prosupersolvable groups, Virtual retraction and Howson’s theorem in pro-$p$ groups



Cites Work

  • Unnamed Item
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  • On prosupersolvable groups
  • Galois Cohomology
  • On products of profinite groups
  • Free pro-\b C-groups
  • A subgroup theorem for free products of pro-finite groups
  • Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
  • Inverse Limits of Solvable Groups
  • A Kurosh Subgroup Theorem for Free Pro--Products of Pro--Groups
  • Projective Profinite Groups
  • Endliche Gruppen I
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