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Applied Finite Group Actions

Applied Finite Group Actions
Catalogue Information
Field name Details
Dewey Class 511.1
Title Applied Finite Group Actions ([EBook] /) / by Adalbert Kerber.
Author Kerber, Adalbert
Other name(s) SpringerLink (Online service)
Edition statement 2nd, Revised and Expanded Edition.
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1999.
Physical Details XXV, 454 p. : online resource.
Series Algorithms and Combinatorics 0937-5511 ; ; 19
ISBN 9783662111673
Summary Note 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.:
Contents note 0. Labeled Structures -- 1. Unlabeled Structures -- 2. Enumeration of Unlabeled Structures -- 3. Enumeration by Weight -- 4. Enumeration by Stabilizer Class -- 5. Poset and Semigroup Actions -- 6. Representations -- 7. Further Applications -- 8. Permutations -- 9. Construction and Generation -- 10. Tables -- 11. Appendix -- 12. Comments and References -- References.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-662-11167-3
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