Finitely generated groups having a finite set of conjugacy classes meeting all cyclic subgroups
نویسندگان
چکیده
منابع مشابه
Counting for conjugacy classes of subgroups in finitely generated group ∗
A new general formula for calculation of number of conjugacy classes of subgroups of given index in a finitely generated group is obtained.
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Let $G$ be a finite group and $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. In this paper, all nilpotent groups $G$ with $nu(G)=3$ are classified.
متن کامل2 00 4 Counting conjugacy classes of subgroups in a finitely generated group ∗
A new general formula for the number of conjugacy classes of subgroups of given index in a finitely generated group is obtained.
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Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1999
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-82-1-1-12