摘要
设G是具有循环极大子群的p^n阶群,p为素数.对G的7个互不同构的类型,给出了G的各阶元之个数,进一步证明了除3个类型外,其余4个类型均可由其各阶元之个数进行刻画.
Supposing G is a p-group with cyclic maximal subgroup, p is an prime number. In this paper, considering seven nonisomorphism types of G, the authors got the order of its elements and proved that on ly four types can be charactered by order of its elements.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第5期1-3,共3页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10771172).
关键词
阶型
循环极大子群
同构
order type
cyclic maximal subgroup
isomorphism
