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Groups with Hypercyclic Proper Quotient Groups
Authors:Kurdachenko  L. A.  Soules  P.
Affiliation:(1) Dnepropetrovsk University, Dnepropetrovsk;(2) University of Athens, Greece
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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