000			03050nam a22003858i 4500
001			CR9780511470882
003			UkCbUP
005			20200124160228.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090122s1999||||enk o ||1 0|eng|d
020			_a9780511470882 (ebook)
020			_z9780521650113 (hardback)
020			_z9780521542180 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	4	_aQA177 _b.D59 1999
082	0	0	_a512/.2 _221
100	1		_aDixon, John D., _eauthor.
245	1	0	_aAnalytic pro-p groups / _cJ.D. Dixon [and three others].
250			_aSecond edition.
264		1	_aCambridge : _bCambridge University Press, _c1999.
300			_a1 online resource (xviii, 368 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v61
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aPt. I. Pro-p groups -- 1. Profinite groups and pro-p groups -- 2. Powerful p-groups -- 3. Pro-p groups of finite rank -- 4. Uniformly powerful groups -- 5. Automorphism groups -- Interlude A. 'Fascicule de resultats': pro-p groups of finite rank -- Pt. II. Analytic groups -- 6. Normed algebras -- 7. The group algebra -- Interlude B. Linearity criteria -- 8. p-adic analytic groups -- Interlude C. Finitely generated groups, p-adic analytic groups and Poincare series -- 9. Lie theory -- Pt. III. Further topics -- 10. Pro-p groups of finite coclass -- 11. Dimension subgroup methods -- 12. Some graded algebras -- Interlude D. The Golod-Shafarevich inequality -- Interlude E. Groups of sub-exponential growth -- 13. Analytic groups over pro-p rings -- App. A. The Hall-Petrescu formula -- App. B. Topological groups.
520			_aThe first edition of this book was the indispensable reference for researchers in the theory of pro-p groups. In this second edition the presentation has been improved and important new material has been added. The first part of the book is group-theoretic. It develops the theory of pro-p groups of finite rank, starting from first principles and using elementary methods. Part II introduces p-adic analytic groups: by taking advantage of the theory developed in Part I, it is possible to define these, and derive all the main results of p-adic Lie theory, without having to develop any sophisticated analytic machinery. Part III, consisting of new material, takes the theory further. Among those topics discussed are the theory of pro-p groups of finite coclass, the dimension subgroup series, and its associated graded Lie algebra. The final chapter sketches a theory of analytic groups over pro-p rings other than the p-adic integers.
650		0	_aNilpotent groups.
650		0	_ap-adic groups.
776	0	8	_iPrint version: _z9780521650113
830		0	_aCambridge studies in advanced mathematics ; _v61.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511470882
999			_c517404 _d517402