1.3 同态基本定理 • 正规子群（normal subgroup）：设G是群，H是子群，称H是G的正规子群，记为H G， 若对任意a ∈ G，均有aH = Ha。
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weakly normal subgroup 弱正规子群
admissible normal subgroup [数] 容许正规子群
minimal normal subgroup [数] 最小正规子群
non-normal subgroup 非正规子群
s-normal subgroup s正规子群
closed normal subgroup [数] 闭正规子群
allowable normal subgroup [数] 容许正规子群
weak normal subgroup 弱正规子群
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In Chapter 3, we investigate how the number of conjugacy classes outside a normal subgroup of a finite group influences its structure.
第三章主要研究有限群的正规子群外的共轭类的个数对群结构的影响。
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.
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。
By using the theories in basic algebra about automorphism, left translation and normal subgroup, in the holomorph of G is discussed briefly, and several related conclusions are obtained.
运用基础代数中有关自同构、左平移、正规子群等理论，对群G的全形进行了简单的探讨，证明了几个有关的结论。
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