{"product_id":"p-automorphisms-of-finite-p-groups-paperback-9780521597173","title":"p-Automorphisms of Finite p-Groups (Paperback) 9780521597173","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003ep-Automorphisms of Finite p-Groups\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eIdeal for graduate students and researchers working in group theory and Lie rings.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eEvgenii I. Khukhro (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521597173, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 13 February 1998\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e224 pages, 138 exercises\u003cbr\u003e22.8 x 15.3 x 1.4 cm, 0.31 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'This is a beautiful book. … this book is a delightful introduction to very general techniques in group theory.' Bulletin of the London Mathmatical Society\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book provides a detailed but concise account of the theory of structure of finite p-groups admitting p-automorphisms with few fixed points. The relevant preliminary material on Lie rings is introduced and the main theorems of the book on the solubility of finite p-groups are then presented. The proofs involve notions such as viewing automorphisms as linear transformations, associated Lie rings, powerful p-groups, and the correspondences of A. I. Mal'cev and M. Lazard given by the Baker–Hausdorff formula. Many exercises are included. This book is suitable for graduate students and researchers working in the fields of group theory and Lie rings.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Introduction\u003cbr\u003e 1. Preliminaries\u003cbr\u003e 2. Automorphisms and their fixed points\u003cbr\u003e 3. Nilpotent and soluble groups\u003cbr\u003e 4. Finite p-groups\u003cbr\u003e 5. Lie rings\u003cbr\u003e 6. Associated Lie rings\u003cbr\u003e 7. Regular automorphisms of Lie rings\u003cbr\u003e 8. Almost regular automorphism of order p: almost nilpotency of p-bounded class\u003cbr\u003e 9. The Baker–Hausdorff formula and nilpotent Q-powered groups\u003cbr\u003e 10. The correspondences of A.I. Mal'cev and M. Lazard\u003cbr\u003e 11. Powerful p-groups\u003cbr\u003e 12. Almost regular automorphism of order p^n: almost solubility of p^n-bounded derived length\u003cbr\u003e 13. p-Automorphisms with p fixed points\u003cbr\u003e 14. Automorphism of order p with p^m fixed points: almost nilpotency of m-bounded class\u003cbr\u003e Bibliography\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":46005634597144,"sku":"9780521597173","price":54.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521597173i_700ad53c-0eef-4f46-9b28-5517d6b1b375.jpg?v=1691370208","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/p-automorphisms-of-finite-p-groups-paperback-9780521597173","provider":"Freshly Printed Books","version":"1.0","type":"link"}