Notes on Infinite Permutation Groups
(Sprache: Englisch)
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...
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Klappentext zu „Notes on Infinite Permutation Groups “
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.
Inhaltsverzeichnis zu „Notes on Infinite Permutation Groups “
Some group theory.- Groups acting on sets.- Transitivity.- Primitivity.- Suborbits and orbitals.- More about symmetric groups.- Linear groups.- Wreath products.- Rational numbers.- Jordan groups.- Examples of Jordan groups.- Relations related to betweenness.- Classification theorems.- Homogeneous structures.- The Hrushovski construction.- Applications and open questions.
Bibliographische Angaben
- Autoren: Meenaxi Bhattacharjee , Peter M. Neumann , Dugald Macpherson , Rögnvaldur G. Möller
- 1998, 1998, 206 Seiten, Maße: 15,5 x 23,3 cm, Kartoniert (TB), Englisch
- By Meenaxi Bhattacharjee, Rögnvaldur G. Möller, Dugald Macpherson et al.
- Verlag: Springer
- ISBN-10: 3540649654
- ISBN-13: 9783540649656
- Erscheinungsdatum: 20.11.1998
Sprache:
Englisch
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