Groups with Hypercyclic Proper Quotient Groups |
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Authors: | Kurdachenko L. A. Soules P. |
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Affiliation: | (1) Dnepropetrovsk University, Dnepropetrovsk;(2) University of Athens, Greece |
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Abstract: | We continue the investigation of (solvable) groups all proper subgroups of which are hypercyclic. The monolithic case is studied completely; in the nonmonolithic case, however, one should impose certain additional conditions. We investigate groups all proper quotient groups of which possess supersolvable classes of conjugate elements. |
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