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On Triangularizability of a Group of Operators
Authors:Hamid-Reza Fana?  Mir Keysan Mahshid
Affiliation:1. Department of Mathematical Sciences, Sharif University of Technology, P. O. Box 11155-9415, Tehran, Iran
2. Science and Research Campus, Islamic Azad University, Tehran, Iran
Abstract:Let ${mathcal{G}}$ be a group of invertible linear transformations on a finite-dimensional vector space over an algebraically closed field. We show that if ${mathcal{G}=mathcal{H}veemathcal{K}}$ , where ${mathcal{H}}$ is a normal subgroup consisting of singleton spectrum operators and ${mathcal{K}}$ is a triangularizable subgroup, then ${mathcal{G}}$ is triangularizable.
Keywords:
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