Structure of finite, minimal nonabelian groups and triangularization.

DOI10.1016/j.laa.2008.09.018zbMath1175.20007OpenAlexW2092543316MaRDI QIDQ1006034

Heydar Radjavi, Mitja Mastnak

Publication date: 17 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.018

zbMATH Keywords

reducibilityirreducible representationssemigroups of matricesminimal non-Abelian groupstriangularizability

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Groups and semigroups of linear operators (47D03) Algebraic systems of matrices (15A30)

Related Items (5)

Commutators of small rank and reducibility of operator semigroups ⋮ Matrix semigroups whose ring commutators have real spectra are realizable ⋮ The large Davenport constant. II: General upper bounds. ⋮ Groups whose proper Schur rings are commutative ⋮ On approximate versions of reducibility results for matrix groups and semigroups

Cites Work

• How small can nonzero commutators be?
• Approximate permutability of traces on semigroups of matrices
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