Subgroup Growth and Sieve Methods

DOI10.1112/S0024611597000129zbMath0887.20010OpenAlexW2114692247MaRDI QIDQ4344047

Aner Shalev

Publication date: 7 July 1997

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611597000129

zbMATH Keywords

subgroups of finite indexfinite simple groupspolynomial subgroup growthsieve methodsprofinite groupsdirect products of finite simple groups of Lie typeprofinite PSG groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Asymptotic results on counting functions for algebraic and topological structures (11N45) Applications of sieve methods (11N36) Simple groups: alternating groups and groups of Lie type (20D06) Limits, profinite groups (20E18)

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