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PROFINITE GROUPS WITH POLYNOMIAL SUBGROUP GROWTH

Published online by Cambridge University Press:  01 April 1997

DAN SEGAL  and
ANER SHALEV
DAN SEGAL
Affiliation:
All Souls College, Oxford OX1 4AL
ANER SHALEV
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem 91904, Israel
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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.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 2 , April 1997 , pp. 320 - 334
Copyright
The London Mathematical Society 1997

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