Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Descent of affine buildings - I. Large minimal angles
HTML articles powered by AMS MathViewer

by Bernhard Mühlherr, Koen Struyve and Hendrik Van Maldeghem PDF
Trans. Amer. Math. Soc. 366 (2014), 4345-4366 Request permission

Abstract:

In this two-part paper we prove an existence result for affine buildings arising from exceptional algebraic reductive groups. Combined with earlier results on classical groups, this gives a complete and positive answer to the conjecture concerning the existence of affine buildings arising from such groups defined over a (skew) field with a complete valuation, as proposed by Jacques Tits.

This first part lays the foundations for our approach and deals with the ‘large minimal angle’ case.

References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 51E24, 20E42
  • Retrieve articles in all journals with MSC (2010): 51E24, 20E42
Additional Information
  • Bernhard Mühlherr
  • Affiliation: Mathematics Institute, Universitat Giessen, 35392 Giessen, Germany
  • Koen Struyve
  • Affiliation: Department of Pure Mathematics, Ghent University, B-9000 Ghent, Belgium
  • Hendrik Van Maldeghem
  • Affiliation: Department of Pure Mathematics, Ghent University, B-9000 Ghent, Belgium
  • Received by editor(s): January 19, 2012
  • Received by editor(s) in revised form: September 23, 2012, and October 15, 2012
  • Published electronically: April 16, 2014
  • Additional Notes: The second author was supported by the Fund for Scientific Research – Flanders (FWO - Vlaanderen)
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 366 (2014), 4345-4366
  • MSC (2010): Primary 51E24, 20E42
  • DOI: https://doi.org/10.1090/S0002-9947-2014-05985-0
  • MathSciNet review: 3206462