On the Likelihood of Symmetrical Cayley Maps for Certain Abelian Groups

Authors

Michelle Robinette, University of Nevada, Las VegasFollow

Document Type

Conference Proceeding

Publication Date

1-1-2019

Publication Title

Congressus Numerantium

First page number:

1

Last page number:

1

Abstract

Let Γ be a finite group and let ∆ be a generating set for Γ. A Cayley map is an orientable 2-cell imbedding of the Cayley graph G∆(Γ) such that the rotation of arcs emanating from each vertex is determined by a unique cyclic permutation of generators and their inverses. A probability model for the set of all Cayley maps for a fixed group and generating set, where the distribution is uniform, is investigated for certain finite abelian groups with generating set chosen as the standard basis.

Keywords

Cayley maps; Abelian groups; Probability model

Disciplines

Mathematics | Physical Sciences and Mathematics | Statistics and Probability

Language

English

Repository Citation

Robinette, M. (2019). On the Likelihood of Symmetrical Cayley Maps for Certain Abelian Groups. Congressus Numerantium 1-1.