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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48 .

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Descent of affine buildings - II. Minimal angle $\pi /3$ and exceptional quadrangles
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by Koen Struyve PDF
Trans. Amer. Math. Soc. 366 (2014), 4367-4381 Request permission


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 second part builds upon the results of the first part and deals with the remaining cases.

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Additional Information
  • Koen Struyve
  • 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 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), 4367-4381
  • MSC (2010): Primary 51E24, 20E42
  • DOI:
  • MathSciNet review: 3206463