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Algebraic inclusions of Moufang polygons
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Tom De Medts
Published/Copyright:
November 18, 2005
Abstract
An inclusion of a Moufang polygon into another is called algebraic if the algebraic structures which describe them can be chosen in such a way that the one is a substructure of the other. We show that an inclusion of Moufang n -gons is always algebraic if n ∈ {3, 6, 8}, but that this is not always true when n = 4. We classify the algebraic inclusions of Moufang quadrangles in the case where none of the root groups is 2-torsion, which corresponds to the fact that the characteristic of the underlying (skew) field is different from 2. Finally, we show that all full and ideal inclusions of Moufang quadrangles without 2-torsion root groups are algebraic.
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Published Online: 2005-11-18
Published in Print: 2005-11-18
Walter de Gruyter GmbH & Co. KG
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- Uniform distribution of the fractional part of the average prime divisor
- Analysis of the horizontal Laplacian for the Hopf fibration
- Algebraic inclusions of Moufang polygons
- Topological equivalence of linear representations for cyclic groups: II
- Capacities associated with Dirichlet space on an infinite extension of a local field
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Articles in the same Issue
- Connections on principal bundles over Kähler manifolds with antiholomorphic involution
- Uniform distribution of the fractional part of the average prime divisor
- Analysis of the horizontal Laplacian for the Hopf fibration
- Algebraic inclusions of Moufang polygons
- Topological equivalence of linear representations for cyclic groups: II
- Capacities associated with Dirichlet space on an infinite extension of a local field
- The configuration space of arachnoid mechanisms
