On the Soluble Graph of a Finite Simple Group |
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| Authors: | Bernhard Amberg Lev Kazarin |
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| Institution: | 1. Fachbereich Mathematik , Universit?t Mainz , Mainz , Germany amberg@uni-mainz.de;3. Department of Mathematics , Yaroslavl State University , Yaroslavl , Russia |
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| Abstract: | The maximal independent sets of the soluble graph of a finite simple group G are studied and their independence number is determined. In particular, it is shown that this graph in many cases has an independent set with three vertices. |
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| Keywords: | Finite simple group Grünberg-Kegel graph or prime graph Independence number Soluble graph |
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