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On Subgroups of Finite Index in Positively Finitely Generated Groups |
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| Authors: | Nikolov Nikolay |
| Institution: | New College Oxford OX1 3BN, United Kingdom nikolay.nikolov{at}new.ox.ac.uk |
| Abstract: | This paper proves that a subgroup of finite index in a positivelyfinitely generated profinite group has maximal subgroup growthat most nlog(n). In particular such a subgroup cannot be free,answering a question by L. Pyber. 2000 Mathematics Subject Classification20E28, 20P05. |
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