Download or read book Logarithmic Descriptions of Whitehead Groups and Class Groups for p Groups written by Robert Oliver and published by American Mathematical Soc.. This book was released on 1988 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: P-adic logarithms are used to translate localization sequences, involving multiplicative groups of units, to simpler additive descriptions of [italic]D([double-struck]Z[italic]G) and [bold]Wh′([italic]G) for the [italic]p-group [italic]G. The goal of this paper is to work out a procedure for using logarithms to translate the localization sequences in to sequences involving additive groups.
Download or read book Logarithmic Descriptions of Whitehead Groups and Class Groups for P groups written by R. Oliver and published by . This book was released on 1986 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logarithmic Descriptions of Whitehead Groups and Class Groups for P Groups written by Robert M. Oliver and published by . This book was released on 1988 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logarithmic descriptions of Whitehead groups and class groups for p groups written by Robert Oliver and published by . This book was released on 1986 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Whitehead Groups of Finite Groups written by Robert Oliver and published by Cambridge University Press. This book was released on 1988-02-25 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book's aim is to make accessible techniques for studying Whitehead groups of finite groups, as well as a variety of related topics such as induction theory and p-adic logarithms. The author has included a lengthy introduction to set the scene for non-specialists who want an overview of the field, its history and its applications. The rest of the book consists of three parts: general theory, group rings of p-groups and general finite groups. The book will be welcomed by specialists in K- and L-theory and by algebraists in general as a state-of-the art survey of the area.
Download or read book Noncommutative Iwasawa Main Conjectures over Totally Real Fields written by John Coates and published by Springer Science & Business Media. This book was released on 2012-10-19 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives. Non-commutative Iwasawa theory has emerged dramatically over the last decade, culminating in the recent proof of the non-commutative main conjecture for the Tate motive over a totally real p-adic Lie extension of a number field, independently by Ritter and Weiss on the one hand, and Kakde on the other. The initial ideas for giving a precise formulation of the non-commutative main conjecture were discovered by Venjakob, and were then systematically developed in the subsequent papers by Coates-Fukaya-Kato-Sujatha-Venjakob and Fukaya-Kato. There was also parallel related work in this direction by Burns and Flach on the equivariant Tamagawa number conjecture. Subsequently, Kato discovered an important idea for studying the K_1 groups of non-abelian Iwasawa algebras in terms of the K_1 groups of the abelian quotients of these Iwasawa algebras. Kakde's proof is a beautiful development of these ideas of Kato, combined with an idea of Burns, and essentially reduces the study of the non-abelian main conjectures to abelian ones. The approach of Ritter and Weiss is more classical, and partly inspired by techniques of Frohlich and Taylor. Since many of the ideas in this book should eventually be applicable to other motives, one of its major aims is to provide a self-contained exposition of some of the main general themes underlying these developments. The present volume will be a valuable resource for researchers working in both Iwasawa theory and the theory of automorphic forms.
Download or read book Arithmetic Geometry over Global Function Fields written by Gebhard Böckle and published by Springer. This book was released on 2014-11-13 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other special functions), investigated in various aspects. Three courses examine some of the most important recent ideas in the positive characteristic theory discovered by Goss (a field in tumultuous development, which is seeing a number of spectacular advances): they cover respectively crystals over function fields (with a number of applications to L-functions of t-motives), gamma and zeta functions in characteristic p, and the binomial theorem. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough introduction to the arithmetic of Jacobians over function fields (including the current status of the BSD conjecture and its geometric analogues, and the construction of Mordell-Weil groups of high rank) and a state of the art survey of Geometric Iwasawa Theory explaining the recent proofs of various versions of the Main Conjecture, in the commutative and non-commutative settings.
Download or read book Surveys on Surgery Theory AM 145 Volume 1 written by Sylvain Cappell and published by Princeton University Press. This book was released on 2014-09-08 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1988 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logaritmic Descriptions of Whitehead Groups and Class Groups for P groups written by Robert Oliver and published by . This book was released on 1986 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Referativny zhurnal written by and published by . This book was released on 1987 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book written by and published by . This book was released on 1989 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic K Theory written by Grzegorz Banaszak and published by American Mathematical Soc.. This book was released on 1996 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains proceedings of the research conference on algebraic K-theory which took place in Poznan, Poland in September 1995. The conference concluded the activity of the algebraic K-theory seminar held at the Adam Mickiewicz University in the academic year 1994-1995. Talks at the conference covered a wide range of current research activities in algebraic K-theory. In particular, the following topics were covered * K-theory of fields and rings of integers * K-theory of elliptic and modular curves * Theory of motives, motivic cohomology, Beilinson conjectures * algebraic K-theory of topological spaces, topological Hochschild homology and cyclic homology. With contributions by leading experts in the field, this book provides a look at the state of current research in algebraic K-theory.
Download or read book Paperbound Books in Print written by and published by . This book was released on 1992 with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Download or read book Cumulative Book Index written by and published by . This book was released on 1990 with total page 2280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world list of books in the English language.
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:
