{"product_id":"model-theory-of-groups-and-automorphism-groups-paperback-9780521589550","title":"Model Theory of Groups and Automorphism Groups (Paperback) 9780521589550","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eModel Theory of Groups and Automorphism Groups\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eSurveys recent interactions between model theory and other branches of mathematics, notably group theory.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDavid M. Evans (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521589550, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 10 July 1997\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e232 pages, 7 b\/w illus.  14 music examples  14 exercises\u003cbr\u003e22.9 x 15.3 x 1.5 cm, 0.315 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The interesting articles range from purely group theoretic ones to mainly model theoretic ones … and reflect impressively the prolific interaction between these two fields.' Monatshefte für Mathematik\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis volume surveys recent interactions between model theory and other branches of mathematics, notably group theory. Beginning with an introductory chapter describing relevant background material, the book contains contributions from many leading international figures in this area. Topics described include automorphism groups of algebraically closed fields, the model theory of pseudo-finite fields and applications to the subgroup structure of finite Chevalley groups. Model theory of modules, and aspects of model theory of various classes of groups, including free groups, are also discussed. The book also contains the first comprehensive survey of finite covers. Many new proofs and simplifications of recent results are presented and the articles contain many open problems. This book will be a suitable guide for graduate students and a useful reference for researchers working in model theory and algebra.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Finite covers\u003cbr\u003e 3. Definable subgroups of algebraic groups over pseudo-finite fields\u003cbr\u003e 4. Groups in pseudo-finite fields\u003cbr\u003e 5. The groups of automorphisms of the field of complex numbers leaving fixed the algebraic numbers are simple\u003cbr\u003e 6. The automorphism groups of the field of complex numbers are complete\u003cbr\u003e 7. The algebra of an age\u003cbr\u003e 8. Elimination of inverses in groups\u003cbr\u003e 9. Model-theoretic properties of polycyclic-by-finite groups\u003cbr\u003e 10. Non-standard free groups\u003cbr\u003e 11. Finitely generated subgroups of the free Z(t)-group on two generators\u003cbr\u003e 12. Rings of definable scalars and biendomorphism rings\u003cbr\u003e 13. Recent results on simple first-order theories.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005363278104,"sku":"9780521589550","price":62.47,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521589550i_50ca7e70-67fb-47ea-95e8-3b1a970aae07.jpg?v=1691370116","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/model-theory-of-groups-and-automorphism-groups-paperback-9780521589550","provider":"Freshly Printed Books","version":"1.0","type":"link"}