首页 | 本学科首页   官方微博 | 高级检索  
     检索      


On maximal cyclic subgroups in finite p-groups
Authors:Zvonimir Janko
Institution:(1) Mathematical Institute, University of Heidelberg, 69120 Heidelberg, Germany
Abstract:In this note we consider finite noncyclic p-groups G all of whose maximal cyclic subgroups X satisfy one of the following two properties. (a) If each subgroup H of G containing X properly is nonabelian, then p = 2 and G is generalized quaternion. (b) If X is contained in exactly one maximal subgroup of G, then G is metacyclic. This solves the problems Nr.1541 and Nr. 1594 from 1].
Keywords:Finite p-groups  powerful p-groups  metacyclic p-groups
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号