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Pro-pgroups with linear subgroup growth

✍ Scribed by Benjamin Klopsch

Book ID
105874534
Publisher
Springer-Verlag
Year
2003
Tongue
French
Weight
372 KB
Volume
245
Category
Article
ISSN
0025-5874

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In this paper we show that a (non-abelian) free pro-p group cannot be obtained as a closed subgroup of GL n F , where F is a non-archimedean local field and n is arbitrary. Using a theorem of E. I. Zel'manov we deduce some group theoretic properties of linear pro-p groups over a local field. Our mai