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This article is cited in 2 scientific papers (total in 2 papers)
Algebraic linear groups as whole groups of automorphisms and the closeness of their verbal subgroups
Ju. I. Merzljakov
Abstract:
Every algebraic linear group over a field $K$ of the characteristic $0$ is rationally isomorphic to a group of all automorphisms of some universal algebra $\mathrm{V}^\phi$ which arises from a finite-dimensional vector space $\mathrm{V}$ over $K$ by adding to it some finite collection $\Phi$ of polylinear operations on $\mathrm{V}$ (see [3], pp. 305–306). For an arbitrary word $V$ the verbal subgroup $V(G)$ of any algebraic linear group $G$ over the universal domain is closed and has a finite width.
Received: 27.01.1967
Citation:
Ju. I. Merzljakov, “Algebraic linear groups as whole groups of automorphisms and the closeness of their verbal subgroups”, Algebra i Logika. Sem., 6:1 (1967), 83–94
Linking options:
https://www.mathnet.ru/eng/al1088 https://www.mathnet.ru/eng/al/v6/i1/p83
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Abstract page: | 54 | Full-text PDF : | 26 |
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