The density of the strong symmetric genus values of p-groups

被引：0
|
作者：
May, Coy L. [1 ]
Zimmerman, Jay [1 ]
机构：
[1] Towson Univ, Dept Math, Baltimore, MD 21252 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 11期
关键词：
Density; p-group; Riemann surface; strong symmetric genus; ORDER P(M); SURFACES; CONTAIN;
D O I：
10.1080/00927872.2017.1278766
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a finite group. The strong symmetric genus sigma(0)(G) is the minimum genus of any Riemann surface on which G acts faithfully and preserving orientation. Let p a prime, and let J(p) be the set of integers g for which there is a p-group of strong symmetric genus g. We show that the set J(p) has density zero in the set of positive integers.
引用
收藏
页码：4730 / 4739
页数：10
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