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JOURNALS
// Matematicheskii Sbornik
// Archive
Mat. Sb.,
1993
Volume 184,
Number 1,
Pages
149–156
(Mi sm960)
Some systems of generators of the group
$\operatorname{GL}(n,\mathbb Z)$
for
$n\leqslant 5$
A. Dress
,
S. S. Ryshkov
a
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
$h(n)$
.
UDC:
514
MSC:
20G30
,
20F32
,
20F05
Received:
16.03.1991
Fulltext:
PDF file (771 kB)
References
English version:
Russian Academy of Sciences. Sbornik. Mathematics, 1994,
78
:1,
131–137
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024