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On profinite groups with positive rank gradient

Abstract:
We prove that a profinite group GG with positive rank gradient does not satisfy a group law. In the case when GG is a pro-pp group, we show that GG contains a nonabelian dense free subgroup.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4171/RMI/1333

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
EMS Press Publisher's website
Journal:
Revista Matemática Iberoamericana Journal website
Publication date:
2022-01-18
Acceptance date:
2022-01-11
DOI:
ISSN:
0213-2230
Language:
English
Keywords:
Pubs id:
1173864
Local pid:
pubs:1173864
Deposit date:
2022-01-14

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