Groups with Finitely Many Normalizers of Non-polycyclic Subgroups
نویسندگان
چکیده
منابع مشابه
On solubility of groups with finitely many centralizers
For any group G, let C(G) denote the set of centralizers of G.We say that a group G has n centralizers (G is a Cn-group) if |C(G)| = n.In this note, we prove that every finite Cn-group with n ≤ 21 is soluble andthis estimate is sharp. Moreover, we prove that every finite Cn-group with|G| < 30n+1519 is non-nilpotent soluble. This result gives a partial answer to aconjecture raised by A. Ashrafi in ...
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ژورنال
عنوان ژورنال: Algebra Colloquium
سال: 2010
ISSN: 1005-3867,0219-1733
DOI: 10.1142/s1005386710000210