Variations on polynomial subgroup growth

DOI10.1007/BF02762694zbMath0853.20017MaRDI QIDQ1916883

Daniel Segal

Publication date: 6 January 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating setsfinitely generated residually finite groupsfinite extensionsprofinite groupsfinitely generated torsion-free soluble minimax groupsweak polynomial subgroup growth

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Related Items (1)

Asymptotic results for primitive permutation groups

Cites Work

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• Powerful \(p\)-groups. I: Finite groups.
• Finitely generated groups of polynomial subgroup growth
• Some properties of polynomial subgroup growth groups
• On the orders of primitive groups with restricted nonabelian composition factors
• On finite soluble groups
• Uniform Finiteness Conditions in Residually Finite Groups
• On the Fixity of Linear Groups
• Subgroup Growth and Sieve Methods
• Endliche Gruppen I

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