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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1. While the present paper is concerned chiefly with continuous groups, its results may be readily utilized for discontinuous groups.* Indeed, the finite form of the general transformation of the group is known ah initio. Further, the method is applicable to the construction of a linear Cm> q -ary group isomorphic to an arbitrary m-ary linear group. 2. The formula of composition of m-ary linear...
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چکیده ندارد.
15 صفحه اولa 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: Transactions of the American Mathematical Society
سال: 1944
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1944-0010587-9