Finiteness Properties Of Arithmetic Groups Acting On Twin Buildings
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Finiteness Properties Of Arithmetic Groups Acting On Twin Buildings
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Author : Stefan Witzel
language : en
Publisher: Springer
Release Date : 2014-07-16
Finiteness Properties Of Arithmetic Groups Acting On Twin Buildings written by Stefan Witzel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-16 with Mathematics categories.
Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S has only two places, one can instead make use of the theory of twin buildings.
Twin Buildings And Applications To S Arithmetic Groups
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Author : Peter Abramenko
language : en
Publisher: Springer
Release Date : 2006-11-14
Twin Buildings And Applications To S Arithmetic Groups written by Peter Abramenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay. Its first part introduces - presupposing good knowledge of ordinary buildings - the theory of twin buildings, discusses its group-theoretic background (twin BN-pairs), investigates geometric aspects of twin buildings and applies them to determine finiteness properties of certain S-arithmetic groups. This application depends on topological properties of some subcomplexes of spherical buildings. The background of this problem, some examples and the complete solution for all "sufficiently large" classical buildings are covered in detail in the second part of the book.
Groups
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Author : Thomas Wolfgang Müller
language : en
Publisher: Cambridge University Press
Release Date : 2004-04-08
Groups written by Thomas Wolfgang Müller and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-08 with Mathematics categories.
Survey and research articles from the Bielefeld conference on topological, combinatorial and arithmetic aspects of groups.
Twin Buildings Spherical Buildings And Finiteness Properties Of Almost Simple If 1tnq Groups Over If 1tnq T
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Author : Peter Abramenko
language : de
Publisher:
Release Date : 1995
Twin Buildings Spherical Buildings And Finiteness Properties Of Almost Simple If 1tnq Groups Over If 1tnq T written by Peter Abramenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Tits Buildings And The Model Theory Of Groups
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Author : Katrin Tent
language : en
Publisher: Cambridge University Press
Release Date : 2002-01-03
Tits Buildings And The Model Theory Of Groups written by Katrin Tent and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-03 with Mathematics categories.
Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Twin Buildings Spherical Buildings And Finiteness Properties Of Almost Simple F Q Groups Over F Q T
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Author : Peter Abramenko
language : en
Publisher:
Release Date : 1995
Twin Buildings Spherical Buildings And Finiteness Properties Of Almost Simple F Q Groups Over F Q T written by Peter Abramenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Algebraic Groups And Number Theory
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Author : Vladimir Platonov
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-31
Algebraic Groups And Number Theory written by Vladimir Platonov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-31 with Mathematics categories.
The first volume of a two-volume book offering a comprehensive account of the arithmetic theory of algebraic groups.
Algebraic Groups And Number Theory Volume 1
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Author : Vladimir Platonov
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-31
Algebraic Groups And Number Theory Volume 1 written by Vladimir Platonov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-31 with Mathematics categories.
The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. This revised second edition, now published in two volumes, retains the same goals, while incorporating corrections and improvements, as well as new material covering more recent developments. Volume I begins with chapters covering background material on number theory, algebraic groups, and cohomology (both abelian and non-abelian), and then turns to algebraic groups over locally compact fields. The remaining two chapters provide a detailed treatment of arithmetic subgroups and reduction theory in both the real and adelic settings. Volume I includes new material on groups with bounded generation and abstract arithmetic groups. With minimal prerequisites and complete proofs given whenever possible, this book is suitable for self-study for graduate students wishing to learn the subject as well as a reference for researchers in number theory, algebraic geometry, and related areas.
Geometry Rigidity And Group Actions
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Author : Robert J. Zimmer
language : en
Publisher: University of Chicago Press
Release Date : 2011-04-15
Geometry Rigidity And Group Actions written by Robert J. Zimmer and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-15 with Mathematics categories.
The study of group actions is more than 100 years old but remains a widely studied topic in a variety of mathematic fields. A central development in the last 50 years is the phenomenon of rigidity, whereby one can classify actions of certain groups. This book looks at rigidity.
Buildings Finite Geometries And Groups
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Author : N.S. Narasimha Sastry
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-13
Buildings Finite Geometries And Groups written by N.S. Narasimha Sastry and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-13 with Mathematics categories.
This is the Proceedings of the ICM 2010 Satellite Conference on “Buildings, Finite Geometries and Groups” organized at the Indian Statistical Institute, Bangalore, during August 29 – 31, 2010. This is a collection of articles by some of the currently very active research workers in several areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lie theory, etc. These articles reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective the authors bring in their articles on the current developments and the major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these areas.