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Recognising Z(p)[[t]]-analytic pro-p groups

Abstract:
We define a group theoretic criterion on a pro-p group that guarantees the existence of an analytic structure over ℤ p [[t]]. This is a one-way analogue of Lazard's succesful answer to the p-adic version of Hilbert's Fifth Problem. In the course of the proof we define a T-map, a T-uniform group and set up a category equivalence between T-uniform pro-p groups and powerful ℤ p[[t]]-Lie algebras. © 2006 Cambridge Philosophical Society.
Publication status:
Published

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Publisher copy:
10.1017/S0305004105009138
Journal:
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY More from this journal
Volume:
140
Issue:
3
Pages:
369-376
Publication date:
2006-05-01
DOI:
EISSN:
1469-8064
ISSN:
0305-0041
Language:
English
Pubs id:
pubs:22944
UUID:
uuid:9151cb2a-745e-438e-aeff-fa9f755e1499
Local pid:
pubs:22944
Source identifiers:
22944
Deposit date:
2012-12-19

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