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Lieferstatus:	i.d.R. innert 5-10 Tagen versandfertig
Veröffentlichung:	November 1998
Genre:	Schulbücher
	Algebra / Gruppe (mathematisch) / automorphismgroup / Combinatorics / Grouptheory / Gruppe (mathematisch) - Gruppentheorie / homogeneousstructures / Jordangroup / Modeltheory / PermutationGroup mehr...
ISBN:	9783540649656
EAN-Code:	9783540649656
Verlag:	Springer
Einband:	Kartoniert
Sprache:	English
Dimensionen:	H 233 mm / B 155 mm / D 13 mm
Gewicht:	338 gr
Seiten:	220
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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. TOC: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.- Bibliography.- List of Symbols.- Index.