Cyclicity in some classes of Hv-groups

Document Type : Original Article


1 Democritus University of Thrace, Panagathou 44B, Alexandroupoli 68131, Greece 2

2 Emeritus Professor of Mathematics, Democritus University of Thrace, Greece


The study of cyclicity in hyperstructures was started very early, almost from the beginning of the introduction of a hypergroup by F. Marty in 1934. New concepts appeared in hyperstructures the main of which are the period of a generator and the single power cyclicity. These terms have no meaning in the classical structures as groups. We study the cyclicity in special large classes of Hv-groups.