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On groups with many almost normal subgroups |
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| Authors: | Silvana Franciosi Francesco de Giovanni Leonid A. Kurdachenko |
| Affiliation: | (1) Present address: Dipartimento di Matematica e Applicazioni, Università di Napoli «Federico II», Complesso Universitario Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy;(2) Present address: Department of Algebra, Dnepropetrovsk University, Prospect Gagarina 72, Dnepropetrovsk, Ukraine |
| Abstract: | Summary An anti-FC-group is a group in which every subgroup either is finitely generated or has only a finite number of coniugates. In this article a classification is given of (generalized) soluble anti-FC-groups which neither are central-by-finite nor satisfy the maximal condition on subgroups. Moreover, groups in which every non-cyclic subgroup has only a finite number of coniugates are characterized. |
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