On finite $X$-decomposable groups for $X={1, 2, 3, 4}$
نویسندگان
چکیده مقاله:
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
دوره 40 شماره 5
صفحات 1243- 1262
تاریخ انتشار 2014-10-01
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