A Quasi Curtis-Tits-Phan theorem for the symplectic group

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We obtain the symplectic group as an amalgam of low rank subgroups akin to Levi components. We do this by having the group act flag-transitively on a new type of geometry and applying Tits' lemma. This provides a new way of recognizing the symplectic groups from a small collection of small subgroups. The geometry consists of all subspaces of maximal rank in a vector space of maximal rank with respect to a symplectic form. The main result holds for fields of size at least 3. We analyze the geometry over the field of size 2 and describe its simply connected cover if different from the geometry.
34 pages

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Group Theory, Combinatorics, 51A50 (Primary), 57M07 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/111560

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604300
 http://arxiv.org/abs/math/0604300

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arXiv