نتایج جستجو برای: alternating group
تعداد نتایج: 1003850 فیلتر نتایج به سال:
let $gamma(s_n)$ be the minimum number of proper subgroups $h_i, i=1, dots, l $ of the symmetric group $s_n$ such that each element in $s_n$ lies in some conjugate of one of the $h_i.$ in this paper we conjecture that $$gamma(s_n)=frac{n}{2}left(1-frac{1}{p_1}right) left(1-frac{1}{p_2}right)+2,$$ where $p_1,p_2$ are the two smallest primes in the factorization of $ninmathbb{n}$ an...
we present the basic results on the representation theory of the alternating groups. our approach is based on clifford theory.
Let $G $ be a finite group and $X$ be a conjugacy class of $G.$ The rank of $X$ in $G,$ denoted by $rank(G{:}X),$ is defined to be the minimal number of elements of $X$ generating $G.$ In this paper we establish the ranks of all the conjugacy classes of elements for simple alternating group $A_{10}$ using the structure constants method and other results established in [A.B.M. Bas...
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