How to construct a triangular matrix of a given order

DOI10.1080/03081087.2012.762712zbMath1297.20051OpenAlexW1988017148MaRDI QIDQ5409942

Roksana Słowik

Publication date: 15 April 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.762712

zbMATH Keywords

numbers of elementselement ordersinfinite triangular matricesgroups of triangular matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other matrix groups over fields (20H20) Other matrix groups over finite fields (20H30)

Related Items

On products of matrices of a fixed order., Expressing upper triangular matrices as products of commutators of finite order elements

Cites Work

• Order of elements in the groups related to the general linear group.
• The maximum element order in the groups related to the linear groups which is a multiple of the defining characteristic.
• Element orders and Sylow structure of finite groups.
• Involutions in triangular groups
• The expected order of a random unitary matrix
• Involutions and characters of upper triangular matrix groups