Involutary expressions for elements in \(\text{GL}_ n(\mathbb{Z})\) and \(\text{SL}_ n(\mathbb{Z})\)

DOI10.1016/0024-3795(93)00206-FzbMath0823.20048MaRDI QIDQ1890757

Hiroyuki Ishibashi

Publication date: 23 May 1995

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

zbMATH Keywords

general linear groupsinvolutionsinteger matricesfactorizationsspecial linear groupsproducts of involutions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Generators, relations, and presentations of groups (20F05) Other matrix groups over rings (20H25)

Related Items (7)

Linear groups over general rings. I: Generalities. ⋮ Factoring formal maps into reversible or involutive factors. ⋮ Expressing infinite matrices as products of involutions ⋮ On groups generated by involutions of a semigroup. ⋮ On products of matrices of a fixed order. ⋮ Involutions and semiinvolutions ⋮ Involutions in triangular groups

Cites Work

• Bireflectionality of the orthogonal group over a valuation domain
• Products of involutions
• Elementary expressions for unimodular matrices
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