A characterization of Conway's group. 3
نویسندگان
چکیده
منابع مشابه
A characterization of the symmetric group of prime degree
Let $G$ be a finite group and $Gamma(G)$ the prime graph of $G$. Recently people have been using prime graphs to study simple groups. Naturally we pose a question: can we use prime graphs to study almost simple groups or non-simple groups? In this paper some results in this respect are obtained and as follows: $Gcong S_p$ if and only if $|G|=|S_p|$ and $Gamma(G)=Gamma(S_p)$, whe...
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THEOREM. Let G be a finite group and s an involution in G, such that CG(S)~CGQ(SO)Assume G^Co(s)0(G) (0(G) is the maximal normal odd order subgroup of G). Then Gc^Go. In particular, G has the following properties : (i) G has order 2 • 3 • 5 • 7 • 11 • 23, and is simple. (ii) G has two conjugacy classes of involutions. One class is represented by the involution s. A representative t of the secon...
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متن کاملa characterization of the symmetric group of prime degree
let $g$ be a finite group and $gamma(g)$ the prime graph of $g$. recently people have been using prime graphs to study simple groups. naturally we pose a question: can we use prime graphs to study almost simple groups or non-simple groups? in this paper some results in this respect are obtained and as follows: $gcong s_p$ if and only if $|g|=|s_p|$ and $gamma(g)=gamma(s_p)$, whe...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1970
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1970-12541-1