Simple groups with m-regular first prime graph component
نویسندگان
چکیده
منابع مشابه
Simple groups with the same prime graph as $D_n(q)$
Vasil'ev 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 a...
متن کاملsimple groups with the same prime graph as $d_n(q)$
vasil'ev 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 gr...
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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 a...
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let $g$ be a finite group. in [ghasemabadi et al., characterizations of the simple group ${}^2d_n(3)$ by prime graph and spectrum, monatsh math., 2011] it is proved that if $n$ is odd, then ${}^2d _n(3)$ is recognizable by prime graph and also by element orders. in this paper we prove that if $n$ is even, then $d={}^2d_{n}(3)$ is quasirecognizable by prime graph, i.e...
متن کامل2-recognizability of the simple groups $B_n(3)$ and $C_n(3)$ by prime graph
Let $G$ be a finite group and let $GK(G)$ be the prime graph of $G$. We assume that $ngeqslant 5 $ is an odd number. In this paper, we show that the simple groups $B_n(3)$ and $C_n(3)$ are 2-recognizable by their prime graphs. As consequences of the result, the characterizability of the groups $B_n(3)$ and $C_n(3)$ by their spectra and by the set of orders of maximal abelian subgroups are ...
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ژورنال
عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics
سال: 2016
ISSN: 1303-5010
DOI: 10.15672/hjms.20164513105