CELLULAR AUTOMORPHISMS AND SELF-DUALITY

被引：4

作者：

Abrams, Lowell ^{[1
]}

Slilaty, Daniel ^{[2
]}

机构：

[1] George Washington Univ, Dept Math, Washington, DC 20052 USA

[2] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 11期

关键词：

COMPACT RIEMANN SURFACES; MAPS; QUADRANGULATIONS; EMBEDDINGS; GRAPHS; CONSTRUCTION;

D O I：

10.1090/tran/6258

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We catalog up to a type of reducibility all cellular automorphisms of the sphere, projective plane, torus, Klein bottle, and three-crosscaps (Dyck's) surface. We also show how one can obtain all self-dual embeddings in a surface S given a catalog of all irreducible cellular automorphisms in S.

引用

页码：7695 / 7773

页数：79

共 48 条

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