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

页码：4730 / 4739

页数：10

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