Finiteness Properties of Arithmetic Groups Acting on Twin Buildings PDF Download
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Author: Stefan Witzel
Publisher: Springer
ISBN: 3319064770
Category : Mathematics
Languages : en
Pages : 128
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Book Description
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.
Author: Stefan Witzel
Publisher: Springer
ISBN: 3319064770
Category : Mathematics
Languages : en
Pages : 128
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Book Description
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.
Author: Peter Abramenko
Publisher: Springer
ISBN: 3540495703
Category : Mathematics
Languages : en
Pages : 131
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Book Description
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.
Author: Thomas Wolfgang Müller
Publisher: Cambridge University Press
ISBN: 9780521542876
Category : Mathematics
Languages : en
Pages : 608
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Book Description
Survey and research articles from the Bielefeld conference on topological, combinatorial and arithmetic aspects of groups.
Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 9780521010634
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Author: N.S. Narasimha Sastry
Publisher: Springer Science & Business Media
ISBN: 1461407095
Category : Mathematics
Languages : en
Pages : 348
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Book Description
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.
Author: Peter Abramenko
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 144
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Book Description
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.
Author: Peter Abramenko
Publisher: Springer Science & Business Media
ISBN: 0387788352
Category : Mathematics
Languages : en
Pages : 758
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Book Description
This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beginners can use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher. This book is suitable as a textbook, with many exercises, and it may also be used for self-study.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1608
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Book Description
Author: Marc Burger
Publisher: Springer Science & Business Media
ISBN: 3662047438
Category : Mathematics
Languages : en
Pages : 494
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Book Description
This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan uary until July, 2000. Beside the activities during the semester, there were workshops held in January, March and July, the first being of introductory nature with five short courses delivered over a week. Although the quality of the workshops was excellent throughout the semester, the idea of these proceedings came about during the March workshop, which is hence more prominently represented, The format of the volume has undergone many changes, but what has remained untouched is the enthusiasm of the contributors since the onset of the project: suffice it to say that even though only two months elapsed between the time we contacted the potential authors and the deadline to submit the papers, the deadline was respected in the vast majority of the cases. The scope of the papers is not completely uniform throughout the volume, although there are some points in common. We asked the authors to write papers keeping in mind the idea that they should be accessible to students. At the same time, we wanted the papers not to be a summary of results that appeared somewhere else.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 982
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Book Description
