质数图与 2Dn(q)相同的简单群

Publications De L'institut Mathematique Pub Date : 2016-12-18 DOI:10.2298/PIM150304024K

B. Khosravi, A. Babai

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引用次数: 1

摘要

2006 年，Vasil'ev 提出了一个问题：是否存在一个正整数 k，使得不存在 k 个具有相同素数图的成对非同构非标注有限简单群？猜想：k = 5。2013 年，兹韦兹迪娜（Zvezdina）证实了其中一个群交替出现时的猜想。我们继续这项工作，并确定了所有与非标注简单群 2Dn(q)具有相同素数图的非标注简单群。

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Simple groups with the same prime graph as 2Dn(q)

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).

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Publications De L'institut Mathematique

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