On normally embedded subgroups of locally soluble FC-groups
نویسندگان
چکیده
منابع مشابه
The influence of S-embedded subgroups on the structure of finite groups
Let H be a subgroup of a group G. H is said to be S-embedded in G if G has a normal T such that HT is an S-permutable subgroup of G and H ∩ T ≤ H sG, where H denotes the subgroup generated by all those subgroups of H which are S-permutable in G. In this paper, we investigate the influence of minimal S-embedded subgroups on the structure of finite groups. We determine the structure the finite grou...
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A subgroup H of a group G is called conjugately dense in G if H has nonempty intersection with each class of conjugate elements in G. The knowledge of conjugately dense subgroups is related with an unsolved problem in group theory, as testified in the Kourovka Notebook. Here we point out the role of conjugately dense subgroups in generalized FC-groups, generalized soluble groups and generalized...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1986
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500006479