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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Kurdachenko, L.A., Soules, P. Groups with Hypercyclic Proper Quotient Groups. Ukrainian Mathematical Journal 55, 566–575 (2003). https://doi.org/10.1023/B:UKMA.0000010157.64107.1d
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DOI: https://doi.org/10.1023/B:UKMA.0000010157.64107.1d