Finitely generated groups of polynomial subgroup growth

Alexander Lubotzky; Avinoam Mann; Dan Segal

doi:10.1007/BF02808118

Finitely generated groups of polynomial subgroup growth

Alexander Lubotzky^*
, Avinoam Mann
, Dan Segal

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

Abstract

We determine the structure of finitely generated residually finite groups in which the number of subgroups of each finite index n is bounded by a fixed power of n.

Original language	English
Pages (from-to)	363-371
Number of pages	9
Journal	Israel Journal of Mathematics
Volume	82
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02808118
State	Published - Jun 1993

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title = "Finitely generated groups of polynomial subgroup growth",

abstract = "We determine the structure of finitely generated residually finite groups in which the number of subgroups of each finite index n is bounded by a fixed power of n.",

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N2 - We determine the structure of finitely generated residually finite groups in which the number of subgroups of each finite index n is bounded by a fixed power of n.

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Finitely generated groups of polynomial subgroup growth

Abstract

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