关键词: 内亚循环群, capable群

Abstract: We address the conditions that an innermetacyclic pgroup is a capable group. We also acquire the necessary and sufficient conditions that an innermetacyclic group is a capable pgroup. We further construct a group H from an innermetacyclic pgroup G, which makes G isomorphic to H/Z(H).

Key words: innermetacyclic groups, capable group