On symmetric words in the symmetric group of degree three
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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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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Recall that, given a set X, the set SX of all bijections from X to itself (or, more briefly, permutations of X) is group under function composition. In particular, for each n ∈ N, the symmetric group Sn is the group of permutations of the set {1, . . . , n}, with the group operation equal to function composition. Thus Sn is a group with n! elements, and it is not abelian if n ≥ 3. If X is a fin...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2006
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-14997