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Generation of \(SL(n,\mathbb{Z})\) by a Jordan unipotent matrix and its transpose

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Publication:1209399
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DOI10.1016/0024-3795(93)90023-HzbMath0769.20021MaRDI QIDQ1209399

S. Singh

Publication date: 16 May 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

generators\(SL(n,\mathbb{Z})\)Jordan unipotent block matrix


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Matrices of integers (15B36)


Related Items (4)

Gow-Tamburini type generation of \(\mathrm{SL}_3(R)\) over the rings of integers of imaginary quadratic number fields of class number one ⋮ Groups with a \(p\)-element acting with a single non-trivial Jordan block on a simple module in characteristic \(p\) ⋮ Birational maps with transcendental dynamical degree ⋮ Logarithmic girth expander graphs of \(SL_n({\mathbb{F}}_p)\)




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