Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/502

 Title: Groups with Restricted Conjugacy Classes Authors: de Giovanni, F.Russo, A.Vincenzi, G. Keywords: Conjugacy ClassNilpotent Group Issue Date: 2002 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 28, No 3, (2002), 241p-254p Abstract: Let F C 0 be the class of all finite groups, and for each nonnegative integer n define by induction the group class FC^(n+1) consisting of all groups G such that for every element x the factor group G/CG ( ^G ) has the property FC^n . Thus FC^1 -groups are precisely groups with finite conjugacy classes, and the class FC^n obviously contains all finite groups and all nilpotent groups with class at most n. In this paper the known theory of FC-groups is taken as a model, and it is shown that many properties of FC-groups have an analogue in the class of FC^n -groups. URI: http://hdl.handle.net/10525/502 ISSN: 1310-6600 Appears in Collections: Volume 28 Number 3

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