Twin Buildings and Applications to S-Arithmetic Groups

Released on by Peter Abramenko
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  • Twin Buildings and Applications to S-Arithmetic Groups Book Detail

  • Author : Peter Abramenko
  • Release Date : 2006-11-14
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 131
  • ISBN 13 : 3540495703
  • File Size : 33,33 MB
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Twin Buildings and Applications to S-Arithmetic Groups by Peter Abramenko PDF Summary

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.

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Buildings, Finite Geometries and Groups

Buildings, Finite Geometries and Groups

File Size : 59,59 MB
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This is the Proceedings of the ICM 2010 Satellite Conference on “Buildings, Finite Geometries and Groups” organized at the Indian Statistical Institute, Ban