Structure of finite, minimal nonabelian groups and triangularization |
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| Authors: | Mitja Mastnak |
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| Institution: | a Department of Mathematics, C.S., Saint Mary’s University, Halifax, Nova Scotia, Canada B3H 3C3
b University of Waterloo Department of Pure Mathematics Waterloo, Ontario Canada N2L 3G1 |
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| Abstract: | Motivated by problems concerning simultaneous triangularization, we study the structure of finite, minimal nonabelian groups. Using the structure result of Miller and Moreno we explicitly describe all irreducible representations of such groups. We illustrate the usefulness of results of this type on several examples. |
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| Keywords: | Group Representation Semigroup of matrices Triangularizability Reducibility |
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