on finite $x$-decomposable groups for $x={1, 2, 3, 4}$
نویسندگان
چکیده
let $mathcal {n}_g$ denote the set of all proper normal subgroups of a group $g$ and $a$ be an element of $mathcal {n}_g$. we use the notation $ncc(a)$ to denote the number of distinct $g$-conjugacy classes contained in $a$ and also $mathcal {k}_g$ for the set ${ncc(a) | ain mathcal {n}_g}$. let $x$ be a non-empty set of positive integers. a group $g$ is said to be $x$-decomposable, if $mathcal {k}_g=x$. in this paper we give a classification of finite $x$-decomposable groups for $x={1, 2, 3, 4}$.
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عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 40
شماره 5 2014
کلمات کلیدی
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