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This article is cited in 2 scientific papers (total in 2 papers)
MATHEMATICS
Involutions of the general linear group $GL_2$ over a subring of the field $\mathbb{Q}$
V. A. Gaidak, E. A. Timoshenko Tomsk State University, Tomsk, Russian Federation
Abstract:
The necessary and sufficient conditions for the conjugacy of involutions of the group $GL_2$ over an arbitrary subring of the field $\mathbb{Q}$ are obtained. It is shown that if this subring is (not) $2$-divisible, then the number of classes of conjugate off-center involutions is $1$ (respectively $2$).
Keywords:
matrix, general linear group, conjugate involutions, inner automorphism.
Received: 16.06.2019
Citation:
V. A. Gaidak, E. A. Timoshenko, “Involutions of the general linear group $GL_2$ over a subring of the field $\mathbb{Q}$”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2019, no. 62, 19–26
Linking options:
https://www.mathnet.ru/eng/vtgu740 https://www.mathnet.ru/eng/vtgu/y2019/i62/p19
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Abstract page: | 112 | Full-text PDF : | 38 | References: | 13 |
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