Locally nilpotent groups with the maximum condition on non-nilpotent subgroups
نویسندگان
چکیده
منابع مشابه
Nilpotent groups with three conjugacy classes of non-normal subgroups
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.
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متن کاملnilpotent groups with three conjugacy classes of non-normal subgroups
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.
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Let V be a vector space over a field F . If G≤GL(V, F ), the central dimension of G is the F -dimension of the vector space V/CV (G). In [DEK] and [KS], soluble linear groups in which the set Licd(G) of all proper infinite central dimensional subgroups of G satisfies the minimal condition and the maximal condition, respectively, have been described. On the other hand, in [MOS], periodic locally...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2001
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089501010072