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  1. Home > Articles & Issues >
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  3. Classification of sk ...
Article

Classification of skew translation generalized quadrangles, I

Koen Thas (1)
(1) Department of Mathematics [Gent/Ghent]
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Imported on
August 26, 2014
Published on
February 11, 2015
Last modified on
March 31, 2025
Volume 17
vol. 17:1
Combinatorics
DOI
10.46298/dmtcs.2116
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https://about.hal.science/hal-authorisation-v1
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Classification of skew translation generalized quadrangles, I

Koen Thas (1)
(1) Department of Mathematics [Gent/Ghent]
Abstract
We describe new classification results in the theory of generalized quadrangles (= Tits-buildings of rank 2 and type B2), more precisely in the (large) subtheory of skew translation generalized quadrangles (``STGQs''). Some of these involve, and solve, long-standing open problems.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Generalized quadrangle
  • Moufang condition
  • skew translation quadrangle
  • alternating form
  • special group
  • p-group
  • classification
  • automorphism group
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