UID:
almahu_9947921435802882
Umfang:
XIV, 206 p.
,
online resource.
ISBN:
9783540498131
Serie:
Lecture Notes in Mathematics, 1698
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.
Anmerkung:
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.
In:
Springer eBooks
Weitere Ausg.:
Printed edition: ISBN 9783540649656
Sprache:
Englisch
URL:
http://dx.doi.org/10.1007/BFb0092550
