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Some systems of generators of the group $\operatorname{GL}(n,\mathbb Z)$ for $n\leqslant 5$
A. Dress, S. S. Ryshkova a Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
It is proved geometrically that the groups $\operatorname{GL}(n,\mathbb Z)$, $0<n\leqslant 5$, are generated by systems of generators of finite groups $G_n$ and, for each such $n$, one additional substitution $h(n)$.
Received: 16.03.1991
Citation:
A. Dress, S. S. Ryshkov, “Some systems of generators of the group $\operatorname{GL}(n,\mathbb Z)$ for $n\leqslant 5$”, Mat. Sb., 184:1 (1993), 149–156; Russian Acad. Sci. Sb. Math., 78:1 (1994), 131–137
Linking options:
https://www.mathnet.ru/eng/sm960https://doi.org/10.1070/SM1994v078n01ABEH003462 https://www.mathnet.ru/eng/sm/v184/i1/p149
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Abstract page: | 489 | Russian version PDF: | 97 | English version PDF: | 5 | References: | 38 | First page: | 1 |
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