Discrete groups of slow subgroup growth

DOI10.1007/BF02937313zbMath0877.20019MaRDI QIDQ677419

Aner Shalev, László Pyber, Alexander Lubotzky

Publication date: 4 December 1997

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

zbMATH Keywords

alternating groupssubgroup growthfinitely generated residually finite groupsasymptotic resultsprofinite completionsdiscrete groupsprofinite groupsfinite simple groups of Lie typegrowth typesnon-polynomial growth

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Residual properties and generalizations; residually finite groups (20E26) Simple groups: alternating groups and groups of Lie type (20D06) Limits, profinite groups (20E18)

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