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
The Non-abelian Specker-Group Is Free
β Scribed by Andreas Zastrow
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 227 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let F be a free group of rank n. Denote by Out F its outer automorphism n n group, that is, its automorphism group modulo its inner automorphism group. For arbitrary n, by considering group actions on finite connected graphs, we derived the maximum order of finite abelian subgroups in Out F . Moreov
## Abstract In Β§ l of this article, we study groupβtheoretical properties of some automorphism group Ξ¨^\*^ of the metaβabelian quotient Β§ of a free proβ__l__ group Β§ of rank two, and show that the conjugacy class of some element of order two of Ξ¨^\*^ is not determined by the action induced on the a
In this paper we discuss classes of nontrivial elements in the group with a relative presentation G t e , where G is torsion free and e is solvable over G.
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