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 followin...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Bhattacharjee, Meenaxi (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Möller, Rögnvaldur G. (http://id.loc.gov/vocabulary/relators/aut), Macpherson, Dugald (http://id.loc.gov/vocabulary/relators/aut), Neumann, Peter M. (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
Έκδοση:1st ed. 1998.
Σειρά:Lecture Notes in Mathematics, 1698
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Bhattacharjee, Meenaxi.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Notes on Infinite Permutation Groups  |h [electronic resource] /  |c by Meenaxi Bhattacharjee, Rögnvaldur G. Möller, Dugald Macpherson, Peter M. Neumann. 
250 |a 1st ed. 1998. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 1998. 
300 |a XIV, 206 p.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1698 
505 0 |a 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. 
520 |a 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. 
650 0 |a Group theory. 
650 1 4 |a Group Theory and Generalizations.  |0 http://scigraph.springernature.com/things/product-market-codes/M11078 
700 1 |a Möller, Rögnvaldur G.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Macpherson, Dugald.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Neumann, Peter M.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9783662202050 
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830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1698 
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