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This article is cited in 8 scientific papers (total in 8 papers)
Embedding theorems for profinite groups
V. N. Remeslennikov
Abstract:
Suppose that the profinite group $G$ is an extension of $A$ by $H$. In this paper the profinite subgroups of the topological group of continuous maps from $H$ to $A$ are investigated. The results obtained are used to prove topological analogues for profinite groups of the Frobenius and Magnus embedding theorems. Moreover, a sufficient condition is formulated for a pro-$p$-group that is an extension of an abelian group by a finitely presented group to be finitely presented, in the language of complete tensor products of abelian pro-$p$-groups; and this condition is used to prove that a finitely generated metabelian pro-$p$-group is a subgroup of a finitely presented metabelian pro-$p$-group.
Bibliography: 14 titles.
Received: 06.01.1978
Citation:
V. N. Remeslennikov, “Embedding theorems for profinite groups”, Math. USSR-Izv., 14:2 (1980), 367–382
Linking options:
https://www.mathnet.ru/eng/im1689https://doi.org/10.1070/IM1980v014n02ABEH001114 https://www.mathnet.ru/eng/im/v43/i2/p399
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Abstract page: | 419 | Russian version PDF: | 119 | English version PDF: | 27 | References: | 73 | First page: | 1 |
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