Sets of p-powers as conjugacy class sizes

被引：12

作者：

Cossey, J ^{[1
]}

Hawkes, T

机构：

[1] Australian Natl Univ, Sch Math Sci, Dept Math, Canberra, ACT 0200, Australia

[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 01期

关键词：

D O I：

10.1090/S0002-9939-99-05138-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that any finite set of powers of a fixed prime p which includes 1 can be the set of conjugacy class sizes of a p-group of nilpotency class 2. This corresponds to a result of Isaacs for degrees of irreducible characters.

引用

页码：49 / 51

页数：3