{"product_id":"lectures-on-profinite-topics-in-group-theory-paperback-9780521183017","title":"Lectures on Profinite Topics in Group Theory (Paperback) 9780521183017","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLectures on Profinite Topics in Group Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn introduction to three key aspects of current research in infinite group theory, suitable for graduate students.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eBenjamin Klopsch (Author), Nikolay Nikolov (Author), Christopher Voll (Author), Dan Segal (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521183017, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 10 February 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e158 pages, 50 exercises\u003cbr\u003e22.8 x 15.2 x 1 cm, 0.24 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIn this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS\/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Editor's introduction\u003cbr\u003e Part I. An Introduction to Compact p-adic Lie Groups: 1. Introduction\u003cbr\u003e 2. From finite p-groups to compact p-adic Lie groups\u003cbr\u003e 3. Basic notions and facts from point-set topology\u003cbr\u003e 4. First series of exercises\u003cbr\u003e 5. Powerful groups, profinite groups and pro-p groups\u003cbr\u003e 6. Second series of exercises\u003cbr\u003e 7. Uniformly powerful pro-p groups and Zp-Lie lattices\u003cbr\u003e 8. The group GLd(Zp), just-infinite pro-p groups and the Lie correspondence for saturable pro-p groups\u003cbr\u003e 9. Third series of exercises\u003cbr\u003e 10. Representations of compact p-adic Lie groups\u003cbr\u003e References for Part I\u003cbr\u003e Part II. Strong Approximation Methods: 11. Introduction\u003cbr\u003e 12. Algebraic groups\u003cbr\u003e 13. Arithmetic groups and the congruence topology\u003cbr\u003e 14. The strong approximation theorem\u003cbr\u003e 15. Lubotzky's alternative\u003cbr\u003e 16. Applications of Lubotzky's alternative\u003cbr\u003e 17. The Nori–Weisfeiler theorem\u003cbr\u003e 18. Exercises\u003cbr\u003e References for Part II\u003cbr\u003e Part III. A Newcomer's Guide to Zeta Functions of Groups and Rings: 19. Introduction\u003cbr\u003e 20. Local and global zeta functions of groups and rings\u003cbr\u003e 21. Variations on a theme\u003cbr\u003e 22. Open problems and conjectures\u003cbr\u003e 23. Exercises\u003cbr\u003e References for Part III\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Groups \u0026amp; group theory [\u003ca title=\"See our other books on Groups \u0026amp; group theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Groups%20\u0026amp;%20group%20theory%20%5BPBG%5D%22\"\u003ePBG\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":46005566210328,"sku":"9780521183017","price":45.65,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521183017i_2b3eb400-a385-4f71-b13e-6892a0797d82.jpg?v=1691373332","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/lectures-on-profinite-topics-in-group-theory-paperback-9780521183017","provider":"Freshly Printed Books","version":"1.0","type":"link"}