1st Edition

Applications of Group Theory to Combinatorics

Edited By Jack Koolen, Jin Ho Kwak, Ming-Yao Xu Copyright 2008
192 Pages
by CRC Press

188 Pages
by CRC Press

Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state-of-the-art in these areas. Applications of... Read more
Foreword, About the editors, Combinatorial and computational group-theoretic methods in the study of graphs, maps and polytopes with maximal symmetry, Automorphism groups of Cayley digraphs, Symmetrical covers, decompositions and factorisations of graphs, Complete bipartite maps, factorisable groups and generalised Fermat curves, Separability properties of groups, Coverings, enumeration and Hurwitz problems, Combinatorial facets of Hurwitz numbers, Groups and designs, Injectivity radius of triangle group representations, with application to regular embeddings of hypermaps, Genus parameters and sizings of groups, Belyi functions: Examples, properties and applications, Author index

Biography

Jack Koolen, Jin Ho Kwak, Ming-Yao Xu

Each paper gives an overview of the current state of the art of the given subject and is aimed at researchers and graduate students who use combinatorics and group theory.
—John van Bon, Nieuw Archief voor Wiskunde, December 2011