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Journal of the London Mathematical Society 1997 55(2):320-334; doi:10.1112/S0024610797004894
© 1997 by London Mathematical Society
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© The London Mathematical Society

Profinite Groups with Polynomial Subgroup Growth

Dan Segal and Aner Shalev

All Souls College Oxford OX1 4AL
Institute of Mathematics, The Hebrew University Jerusalem 91904, Israel

Received 12 April 1996. Revision received 3 January 1997.

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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