Conjugacy classes of subgroups of split metacyclic groups of prime power order
Bull. Korean Math. Soc. 1998 Vol. 35, No. 4, 719-725
Hyo-Seob Sim Pukyong National University
Abstract : In this paper, we consider conjugacy of subgroups of some split metacyclic groups of odd prime power order to determine the numbers of conjugacy classes of subgroups of those groups. The study was motivated by the linear isomorphism problem of metacyclic primitive linear groups.
Keywords : metacyclic $p$-groups, conjugate subgroups, primitive linear groups