The symmetric genus spectrum of abelian groups

被引：1
|
作者：
May, Coy L. [1 ]
Zimmerman, Jay [1 ]
机构：
[1] Towson Univ, 7800 York Rd, Towson, MD 21204 USA
来源：
ARS MATHEMATICA CONTEMPORANEA | 2019年 / 17卷 / 02期
关键词：
Symmetric genus; strong symmetric genus; Riemann surface; abelian groups; genus spectrum; density;
D O I：
10.26493/1855-3974.1921.d6f
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let S denote the set of positive integers that appear as the symmetric genus of a finite abelian group and let So denote the set of positive integers that appear as the strong symmetric genus of a finite abelian group. The main theorem of this paper is that S = S-0. As a result, we obtain a set of necessary and sufficient conditions for an integer g to belong to S. This also shows that S has an asymptotic density and that it is approximately 0.3284.
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页码：627 / 636
页数：10
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