Groups with many generalized FC-subgroup
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Groups with many generalized FC-subgroup
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| Creator |
Russo, A.
Vincenzi, G. |
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| Description |
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.
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| Date |
2019-06-15T17:11:33Z
2019-06-15T17:11:33Z 2009 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2000 Mathematics Subject Classification:20F24. http://dspace.nbuv.gov.ua/handle/123456789/154643 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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