建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。
Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups.
本文主要研究图的基本群的正规子群的指数何时成为任意正整数的条件。
In this paper, we study the condition which makes the fundamental group of graph have every positive integer as the index of some normal subgroup.
给出了所有准素子群的正规化子有素数幂指数的有限群的幂零长的界。
The bounds of nilpotent lengths of finite groups with normalizers of primary subgroups having prime power indices are obtained.
研究了已给准素子群的正规化子指数的有限群。
Finite groups with given indices of normalizers of primary subgroups are studied.
最后，利用极大子群指数得到了关于可解群的一个新的结果。
Lastly, a new result for solvable groups is given by considering the indices of maximal subgroups.
最后，利用极大子群指数得到了关于可解群的一个新的结果。
Lastly, a new result for solvable groups is given by considering the indices of maximal subgroups.
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