On the Validity of Thompson's Conjecture for Finite Simple Groups |
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| Authors: | N. Ahanjideh M. Ahanjideh |
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| Affiliation: | 1. Department of Mathematics, Faculty of Basic Sciences , University of Shahre-kord , Shahre-kord , Iran ahanjideh.neda@sci.sku.ac.ir;3. Department of Mathematics, Faculty of Basic Sciences , University of Shahre-kord , Shahre-kord , Iran |
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| Abstract: | In this article, we prove a conjecture of J. G. Thompson for the finite simple group 2 D n (q). More precisely, we show that every finite group G with the property Z(G) = 1 and N(G) = N(2 D n (q)) is necessarily isomorphic to 2 D n (q). Note that N(G) is the set of lengths of conjugacy classes of G. |
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| Keywords: | Classification theorem of finite simple groups Conjugacy classes Minimal normal subgroup |
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