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＜電子ブック＞
Applied Finite Group Actions / by Adalbert Kerber
(Algorithms and Combinatorics. ISSN:21976783 ; 19)

版	2nd ed. 1999.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	XXV, 454 p : online resource
著者標目	*Kerber, Adalbert author SpringerLink (Online service)
件　名	LCSH:Discrete mathematics LCSH:Algebras, Linear LCSH:Chemometrics LCSH:Mathematical physics FREE:Discrete Mathematics FREE:Linear Algebra FREE:Mathematical Applications in Chemistry FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-662-11167-3

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