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AuthorKerber, Adalbert. author
TitleApplied Finite Group Actions [electronic resource] / by Adalbert Kerber
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999
Edition 2nd, Revised and Expanded Edition
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Descript XXV, 454 p. online resource


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


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

Mathematics Chemometrics Matrix theory Algebra Discrete mathematics Combinatorics Physics Mathematics Discrete Mathematics Combinatorics Linear and Multilinear Algebras Matrix Theory Math. Applications in Chemistry Theoretical Mathematical and Computational Physics


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