Simple groups with the same prime graph as 2Dn(q)
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In 2006, Vasil'ev posed the problem: Does there exist a positive integer k such that there are no k pairwise nonisomorphic nonabelian finite simple groups with the same graphs of primes? Conjecture: k = 5. In 2013, Zvezdina, confirmed the conjecture for the case when one of the groups is alternating. We continue this work and determine all nonabelian simple groups having the same prime graphs as the nonabelian simple group 2Dn(q).
2019 ◽
Vol 18
(04)
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pp. 1950070
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1998 ◽
Vol 58
(1)
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pp. 137-145
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2009 ◽
Vol 08
(01)
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pp. 105-114
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2016 ◽
Vol 15
(09)
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pp. 1650163
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2014 ◽
Vol 91
(2)
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pp. 227-240
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