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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 3, Pages 61–72
(Mi vmumm3495)
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This article is cited in 23 scientific papers (total in 23 papers)
Mathematics
Isomorphisms of the general linear group over an associative ring
I. Z. Golubchik, A. V. Mikhalev
Abstract:
It is proved that every isomorphism of linear groups $\varphi\colon\mathrm{GL}_n(R)\to\mathrm{GL}_m(S)$ over arbitrary associative rings $R$ and $S$ with $1/2\in R$ and $1/2\in S$ for $n,m\ge3$ is a standard one on a subgroup $\mathrm{GE}_n(R)$ generated by elementary and diagonal matrices.
Received: 10.12.1982
Citation:
I. Z. Golubchik, A. V. Mikhalev, “Isomorphisms of the general linear group over an associative ring”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3, 61–72
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Abstract page: | 144 | Full-text PDF : | 43 |
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