Lie Regular Generators of General Linear Groups |
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| Authors: | R K Sharma Pooja Yadav |
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| Institution: | Department of Mathematics , Indian Institute of Technology , Delhi , India |
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| Abstract: | In this article, we introduce the idea of Lie regular elements and study 2 × 2 Lie regular matrices. It is shown that the linear groups GL(2, ?2 n ), GL(2, ? p n ), and GL(2, ?2p ) (where p is an odd prime) can be genrated by Lie regular matrices. Presentations of linear groups GL(2, ?4), GL(2, ?6), GL(2, ?8), and GL(2, ?10) are also given. |
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| Keywords: | Lie regular Linear groups Unit regular |
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