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Conjecture that ovoids in finite Moufang octagons are not collineation fix structures
Ovoid fix-structure conjecture. No such ovoid is the fix structure of any collineation.
Conjectureopenfinite-geometries moufang-buildings spherical-buildingsarXiv posted 2 days ago
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Tits's integrability conjecture for Moufang foundations
A Moufang foundation is a foundation in which the irreducible rank $2$ buildings are Moufang and the glueings are compatible with the Moufang structures induced on the rank $1$ res…
Conjectureopenbuilding-theory moufang-buildings twin-buildingsarXiv posted 2 days ago
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The Moufang property conjecture for strongly transitive compact polygons
Let $\Delta$ be an infinite thick irreducible compact totally disconnected spherical building of rank $2$ . Moufang property conjecture. If $\Delta$ is strongly transitive, then…
Conjectureopencompact-buildings moufang-buildings spherical-buildingsarXiv posted 2 days ago

Conjecture that ovoids in finite Moufang octagons are not collineation fix structures