一类2q^2p^n阶群的构造  

Structures of groups of order 2q^2p^n

作　　者：余红宴[1] 郑华杰[2] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002 [2]河南科技大学理学院,河南洛阳471003

出　　处：《湖北师范学院学报（自然科学版）》2008年第1期26-29,共4页Journal of Hubei Normal University(Natural Science)

摘　　要：利用有限群的性质,运用群扩张理论和数论的有关知识,证明了Sylow p-子群为循环群时2q2pn阶群的构造,其中q<p为奇素数.In this paper,we prove the structures of groups of Order 2q^2p^n with sylow p - subgroups are cyclic groups on the ground of the characters of finite group and the knowledge of group extension theory and number theory, where q 〈 p are odd primes.

关 键 词：群扩张 群构造 HALL子群 自同构群 

分 类 号：O152.1[理学—数学]