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Exceptional groups of
relative rank one and Galois involutions of Tits
quadrangles
Bernhard Mühlherr and Richard M. Weiss |
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Vol. 307 (2020), No. 2, 391–454
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Abstract |
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Weshow that every Moufang set associated with one of the Tits indices , , or in arbitrary characteristic can be obtained as the fixed point building of a Galois involution acting on a Tits quadrangle parametrized by a quadrangular algebra. This result is used to calculate an explicit formula for the structure map of an arbitrary Moufang set in this class. |
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Keywords
building, Moufang set, Tits polygon, exceptional group
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Mathematical Subject Classification 2010
Primary: 20E42, 51E12, 51E24
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Milestones
Received: 27 September 2019
Revised: 9 April 2020
Accepted: 26 April 2020
Published: 4 September 2020
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Authors |
| Bernhard Mühlherr | |
| Mathematisches Institut Universität Giessen Germany |
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| Richard M. Weiss | |
| Mathematics Tufts University Medford, MA United States |
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