Title of article :
Simple groups with the same prime graph as $D_n(q)$
Author/Authors :
-، - نويسنده Department of Pure Mathematics, Faculty of Mathematics and Computer Sciences,
Amirkabir University of Technology, 424,
Hafez Ave., Tehran 15914, Iran. Khosravi, B. , -، - نويسنده Department of Mathematics, University of Qom, P.O. Box 37185-3766, Qom, Iran. Babai, A.
Issue Information :
دوماهنامه با شماره پیاپی 0 سال 2016
Abstract :
Vasilʹev posed Problem 16.26 in [The Kourovka Notebook: Unsolved Problems in Group Theory, 16th ed.,Sobolev Inst. Math., Novosibirsk (2006).] as follows:Does there exist a positive integer $k$ such that there are no $k$ pairwise nonisomorphicnonabelian finite simple groups with the same graphs of primes? Conjecture: $k = 5$.In [Zvezdina, On nonabelian simple groups having the same prime graph as an alternating group, Siberian Math. J., 2013] the above conjecture is positively answered when one of these pairwise nonisomorphic groups is an alternating group.In this paper, we continue this work and determine all nonabelian simple groups, which have the same prime graph as the nonabelian simple group $D_n(q)$.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
