摘要
证明了生成关系为ａｎ＝ｂ２＝ｃ２＝ｅ，（ａｂ）２＝（ｂｃ）２＝ｅ，ａｃ＝ｃａ的三元生成群为超可解群．
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.
出处
《辽宁师范大学学报（自然科学版）》
CAS
1999年第1期86-88,共3页
Journal of Liaoning Normal University:Natural Science Edition
关键词
幂零群
可解群
超可解群
偶数
阶
幂零解
group,nilpotent group,solvable group,hypersolvable group
