| 阶为偶数的超可解群与幂零解 |
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| 引用本文： | 王艳芳. 阶为偶数的超可解群与幂零解[J]. 辽宁师范大学学报(自然科学版), 1999, 22(1): 86-88 |
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| 作者姓名： | 王艳芳 |
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| 作者单位： | 大连管理干部学院基础部 |
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| 摘 要： | 证明了生成关系为α＾ｎ＝ｂ＾２＝ｃ２＝ｅ,（ａｂ）＾２＝（ｂｃ）＾２＝ｅ,ａｃ－ｃａ的三元生成群为超可解群。并对阶为偶数的非交换群为幂零群的必要条件进行了探讨。
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| 关 键 词： | 幂零群 可解群 超可解群 偶数 阶 幂零解 |
HYPERSOLVABLE GROUP AND NILPOTENT GROUP WITH ORDERS OF EVEN NUMBER |
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| Wang Yanfang. HYPERSOLVABLE GROUP AND NILPOTENT GROUP WITH ORDERS OF EVEN NUMBER[J]. Journal of Liaoning Normal University(Natural Science Edition), 1999, 22(1): 86-88 |
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| Authors: | Wang Yanfang |
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| Abstract: | We prove that the generating group with generating relation a n = b 2= c 2= e is a hypersolvable group,and discuss the necessary conditions for a noncommutative group with orders of even number to be nilpotent group. |
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| Keywords: | group nilpotent group solvable group hypersolvable group |
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