Abstract

In this paper we present some new results on Camina groups. Infinite generalizations of Camina groups and generalized Camina groups are also discussed. We further define and study some new group structures which arise out of inter-relations between conjugacy classes, order classes, and cosets with respect to a normal subgroup.

Keywords: Camina group; infinite Camina group; generalized Camina group; infinite Frobenius group; multiple conjugate type vector; order class; Or-Con group; Or-Cos group.

MSC: 20E45, 20D99

Pages:  250--260     

Volume  65 ,  Issue  2 ,  2013