Two generator p-groups of nilpotency class 2 and their conjugacy classes

被引：22
|
作者：
Ahmad, Azhana [1 ]
Magidin, Arturo [2 ]
Morse, Robert Fitzgerald [3 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, Usm Penang 11800, Malaysia
[2] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA
[3] Univ Evansville, Dept Elect Engn & Comp Sci, Evansville, IN 47722 USA
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2012年 / 81卷 / 1-2期
关键词：
p-groups; conjugacy classes; enumeration; 2-GENERATOR; 2-GROUPS; PRODUCTS;
D O I：
10.5486/PMD.2012.5114
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a classification of 2-generator p-groups of nilpotency class 2. Using this classification, we give a formula for the number of such groups of order p(n) in terms of the partitions of n of length 3, and find formulas for the number and size of their conjugacy classes.
引用
收藏
页码：145 / 166
页数：22
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