Profinite groups with polynomial subgroup growth

Dan Segal; Aner Shalev

doi:10.1112/S0024610797004894

Profinite groups with polynomial subgroup growth

Dan Segal
, Aner Shalev

Einstein Institute of Mathematics

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

8 Scopus citations

Abstract

We characterise the profinite groups with polynomial subgroup growth. We deduce that the property PSG is extension-closed in the category of all groups, and subgroup-closed in the category of finitely generated profinite groups.

Original language	English
Pages (from-to)	320-334
Number of pages	15
Journal	Journal of the London Mathematical Society
Volume	55
Issue number	2
DOIs	https://doi.org/10.1112/S0024610797004894
State	Published - Apr 1997

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abstract = "We characterise the profinite groups with polynomial subgroup growth. We deduce that the property PSG is extension-closed in the category of all groups, and subgroup-closed in the category of finitely generated profinite groups.",

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Profinite groups with polynomial subgroup growth

Abstract

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