Applied Finite Group Actions
By: by Adalbert Kerber
Edition: 2nd, Revised and Expanded Edition.
Series: Algorithms and Combinatorics -- 19; Algorithms and Combinatorics -- 19
Publisher: Springer Berlin Heidelberg
Published: 1999
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 454
ISBN-13: 9783642085222; 9783662111673
Subjects: Combinatorics; Mathematics; Chemistry; Matrix theory
Description: The topic of this book is finite group actions and their use in order to approach finite unlabeled structures by defining them as orbits of finite groups of sets. Well-known examples are graphs, linear codes, chemical isomers, spin configurations, isomorphism classes of combinatorial designs etc. This second edition is an extended version and puts more emphasis on applications to the constructive theory of finite structures. Recent progress in this field, in particular in design and coding theory, is described. This book will be of great use to researchers and graduate students.
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Table of contents: title: Preface to the Second Edition; title: Preface to the First Edition; title: List of Symbols; title: Labeled Structures; title: Unlabeled Structures; title: Enumeration of Unlabeled Structures; title: Enumeration by Weight; title: Enumeration by Stabilizer Class; title: Poset and Semigroup Actions; title: Representation; title: Further Application; title: Permutations; title: Construction and Generation; title: Appendix; title: Tables; title: Comments and References; title: Index.