On commutators in p-groups

被引：11
作者：
Kappe, LC [1 ]
Morse, RF
机构：
[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA
[2] Univ Evansville, Dept Elect Engn & Comp Sci, Evansville, IN 47722 USA
来源：
JOURNAL OF GROUP THEORY | 2005年 / 8卷 / 04期
关键词：
D O I：
10.1515/jgth.2005.8.4.415
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For each prime p, we determine the smallest integer n such that there exists a group of order p(n) in which the set of commutators does not form a subgroup. We show that n = 6 for any odd prime and n = 7 for p = 2.
引用
收藏
页码：415 / 429
页数：15
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