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

页码：145 / 166

页数：22

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