Linear Pro-p-Groups of Finite Width - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Pro-p-Groups of Finite Width write by Gundel Klaas. This book was released on 2006-11-14. Linear Pro-p-Groups of Finite Width available in PDF, EPUB and Kindle. The normal subgroup structure of maximal pro-p-subgroups of rational points of algebraic groups over the p-adics and their characteristic p analogues are investigated. These groups have finite width, i.e. the indices of the sucessive terms of the lower central series are bounded since they become periodic. The richness of the lattice of normal subgroups is studied by the notion of obliquity. All just infinite maximal groups with Lie algebras up to dimension 14 and most Chevalley groups and classical groups in characteristic 0 and p are covered. The methods use computers in small cases and are purely theoretical for the infinite series using root systems or orders with involutions.
New Horizons in pro-p Groups
New Horizons in pro-p Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Horizons in pro-p Groups write by Marcus du Sautoy. This book was released on 2012-12-06. New Horizons in pro-p Groups available in PDF, EPUB and Kindle. A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order
Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order write by Yorck Sommerhäuser. This book was released on 2004-10-19. Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order available in PDF, EPUB and Kindle. Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.
Symmetries in Algebra and Number Theory (SANT)
Symmetries in Algebra and Number Theory (SANT) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetries in Algebra and Number Theory (SANT) write by Ina Kersten. This book was released on 2009. Symmetries in Algebra and Number Theory (SANT) available in PDF, EPUB and Kindle. 4e de couverture : "These proceedings contain most of the contributions to the Göttingen-Jerusalem Conference 2008 on "Symmetries in Algebra and Number Theory" including three addresses given at the conference opening, and two contributions to the Satellite Conference "On the Legacy of Hermann Weyl". The contributions are survey articles or report on recent work by the authors, for exemple new results on the famous Leopoldt conjecture."
Algorithmic Algebra and Number Theory
Algorithmic Algebra and Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algorithmic Algebra and Number Theory write by B.Heinrich Matzat. This book was released on 2012-12-06. Algorithmic Algebra and Number Theory available in PDF, EPUB and Kindle. This book contains 22 lectures presented at the final conference of the Ger man research program (Schwerpunktprogramm) Algorithmic Number The ory and Algebra 1991-1997, sponsored by the Deutsche Forschungsgemein schaft. The purpose of this research program and of the meeting was to bring together developers of computer algebra software and researchers using com putational methods to gain insight into experimental problems and theoret ical questions in algebra and number theory. The book gives an overview on algorithmic methods and on results ob tained during this period. This includes survey articles on the main research projects within the program: • algorithmic number theory emphasizing class field theory, constructive Galois theory, computational aspects of modular forms and of Drinfeld modules • computational algebraic geometry including real quantifier elimination and real algebraic geometry, and invariant theory of finite groups • computational aspects of presentations and representations of groups, especially finite groups of Lie type and their Heeke algebras, and of the isomorphism problem in group theory. Some of the articles illustrate the current state of computer algebra sys tems and program packages developed with support by the research pro gram, such as KANT and LiDIA for algebraic number theory, SINGULAR, RED LOG and INVAR for commutative algebra and invariant theory respec tively, and GAP, SYSYPHOS and CHEVIE for group theory and representation theory.
