On the Likelihood of Symmetrical Cayley Maps for Certain Abelian Groups
First page number:
Last page number:
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.
Cayley maps; Abelian groups; Probability model
Mathematics | Physical Sciences and Mathematics | Statistics and Probability
On the Likelihood of Symmetrical Cayley Maps for Certain Abelian Groups.