Skew-morphisms of regular Cayley maps

被引：68

作者：

Jajcay, R ^{[1
]}

Sirán, J

机构：

[1] Indiana State Univ, Dept Math & Comp Sci, Terre Haute, IN 47809 USA

[2] Slovak Univ Technol Bratislava, Dept Math, SVF, Bratislava 81368, Slovakia

来源：

DISCRETE MATHEMATICS | 2002年 / 244卷 / 1-3期

关键词：

D O I：

10.1016/S0012-365X(01)00081-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Cayley map M is a 2-cell embedding of a. Cayley graph in an orientable surface with the same orientation (the induced permutation of generators) at each vertex. The concept of a skew-morphism generalizes several concepts previously studied with respect to regular Cayley maps, and allows for a unified theory of regular Cayley maps and their automorphism groups. Using algebraic properties of skew-morphisms of groups we reprove or extend some previously known results and obtain several new ones. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：167 / 179

页数：13

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