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Split buildings of type F4 in buildings of type E6
- Source :
- Abh. Math. Semin. Univ. Hambg. (2018) 88:97--160
- Publication Year :
- 2020
-
Abstract
- A symplectic polarity of a building {\Delta} of type E6 is a polarity whose fixed point structure is a building of type F4 containing residues isomorphic to symplectic polar spaces (i.e., so-called split buildings of type F4). In this paper, we show in a geometric way that every building of type E6 contains, up to conjugacy, a unique class of symplectic polarities. We also show that the natural point-line geometry of each split building of type F4 fully embedded in the natural point-line geometry of {\Delta} arises from a symplectic polarity.<br />Comment: 64 pages
- Subjects :
- Mathematics - Combinatorics
51E24
Subjects
Details
- Database :
- arXiv
- Journal :
- Abh. Math. Semin. Univ. Hambg. (2018) 88:97--160
- Publication Type :
- Report
- Accession number :
- edsarx.2001.03399
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s12188-017-0190-5