摘要
设H是有限群G的一个交换子群.如果H在G中的中心化子正是它本身,则称H为G的极大交换子群.本文主要研究每一非极大交换子群都正规的有限群的结构,对这类有限群给出其完全分类.
An abelian subgroup H of a finite group G is said to be a maximal abelian subgroup in G if its centralizer is just itself. Finite groups in which every non-maximal abelian subgroup is normal are investigated, and then the classifica- tion of this kind groups is given in this paper.
出处
《应用数学与计算数学学报》
2012年第1期121-126,共6页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(11071155)