Applications of Group Theory to Combinatorics

ISBN-13: 9780415471848 / Angielski / Twarda / 2008 / 188 str.

Jack Koolen;Jin Ho Kwak;Ming-Yao Xu

Opis

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 Group Theory to Combinatorics will be useful in the study of graphs, maps and polytopes having maximal symmetry, and is aimed at researchers in the areas of group theory and combinatorics, graduate students in mathematics, and other specialists who use group theory and combinatorics.

Jack Koolen teaches at the Department of Mathematics at Pohang University of Science and Technology, Korea. His main research interests include the interaction of geometry, linear algebra and combinatorics, on which he published 60 papers.

Jin Ho Kwak is Professor at the Department of Mathematics at Pohang University of Science and Technology, Korea, where he is director of the Combinatorial and Computational Mathematics Center (Com2MaC). He works on combinatorial topology, mainly on covering enumeration related to Hurwitz problems and regular maps on surfaces, and published more than 100 papers in these areas.

Ming-Yao Xu is Professor in Department of Mathematics at Peking University, China. The focus in his research is in finite group theory and algebraic graph theory. Ming-Yao Xu published over 80 papers on these topics.

 

Recenzje

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

Spis treści

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

O autorze

Jack Koolen, Jin Ho Kwak, Ming-Yao Xu