A characterization of the finite simple group L16(2) by its prime graph |
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| Authors: | Behrooz Khosravi Bahman Khosravi Behnam Khosravi |
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| Affiliation: | (1) Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran, 15914, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran;(3) Department of Mathematics, Faculty of Mathematical Science, Shahid Beheshti University, Evin, Tehran, 19838, Iran |
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| Abstract: | In this paper as the main result we prove that the projective special linear group L 16(2) is uniquely determined by its prime graph. In fact we give a positive answer to an open problem arose in Zavarnitsin (Algebra Logic 43(4), 220–231, 2006) and we obtain a first example of a finite group with connected prime graph which is uniquely determined by its prime graph. This research was in part supported by a grant from IPM (No. 86200023). |
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| Keywords: | 20D05 20D60 20D08 |
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