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The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed); applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory.
Autorius: | Meenaxi Bhattacharjee, Peter M. Neumann, Dugald Macpherson, Rögnvaldur G. Möller, |
Serija: | Lecture Notes in Mathematics |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 1998 |
Knygos puslapių skaičius: | 220 |
ISBN-10: | 3540649654 |
ISBN-13: | 9783540649656 |
Formatas: | 233 x 155 x 13 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Notes on Infinite Permutation Groups“