Groups with many generalized FC-subgroup

dc.contributor.author	Russo, A.
dc.contributor.author	Vincenzi, G.
dc.date.accessioned	2019-06-15T17:11:33Z
dc.date.available	2019-06-15T17:11:33Z
dc.date.issued	2009
dc.identifier.citation	Groups with many generalized FC-subgroup / A. Russo, G. Vincenzi // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 158–166. — Бібліогр.: 17 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification:20F24.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/154643
dc.description.abstract	Let FC⁰ be the class of all finite groups, and for each non-negative integer n define by induction the group class FCⁿ⁺¹ consisting of all groups G such that the factor group G/CG(xG) has the property FCⁿ for all elements x of G. Clearly, FC¹ is the class of FC-groups and every nilpotent group with class at most m belongs to FCm. The class of FCⁿ-groups was introduced in [6]. In this article the structure of groups with finitely many normalizers of non-FCⁿ-subgroups (respectively, the structure of groups whose subgroups either are subnormal with bounded defect or have the property FCⁿ) is investigated.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Groups with many generalized FC-subgroup	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA