Groups with Hypercyclic Proper Quotient Groups

  • L. A. Kurdachenko
  • P. Soules


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.
How to Cite
KurdachenkoL. A., and Soules P. “Groups With Hypercyclic Proper Quotient Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 4, Apr. 2003, pp. 470-8,
Research articles