Involutions in triangular groups

DOI10.1080/03081087.2012.716432zbMath1277.20060OpenAlexW2076116381MaRDI QIDQ2850985

Roksana Słowik

Publication date: 1 October 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.716432

zbMATH Keywords

numbers of involutionsgroups of triangular matrices

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Other matrix groups over fields (20H20)

Related Items (5)

Some new facts about (pseudo) involutions in the Riordan group ⋮ Expressing infinite matrices over rings as products of involutions ⋮ Expressing infinite matrices as products of involutions ⋮ How to construct a triangular matrix of a given order ⋮ More about involutions in the group of almost-Riordan arrays

Cites Work

• Involutions for upper triangular matrix algebras.
• Products of two involutions with prescribed eigenvalues and some applications
• Products of two involutory matrices over skewfields
• Decomposition of matrices into commutators of involutions
• Involutary expressions for elements in \(\text{GL}_ n(\mathbb{Z})\) and \(\text{SL}_ n(\mathbb{Z})\)
• Involutions of \(\text{SL}(n,k)\), (\(n>2\)).
• Product of two involutions
• CLASSIFICATION OF INVOLUTIONS OF SL(2, k)
• Involutions and characters of upper triangular matrix groups
• On the geometry of linear involutions

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