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.
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This research was in part supported by a grant from IPM (No. 86200023).
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Khosravi, B., Khosravi, B. & Khosravi, B. A characterization of the finite simple group L16(2) by its prime graph. manuscripta math. 126, 49–58 (2008). https://doi.org/10.1007/s00229-007-0160-9
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DOI: https://doi.org/10.1007/s00229-007-0160-9