In mathematics, Moufang polygons are a generalization by Jacques Tits of the Moufang planes studied by Ruth Moufang, and are irreducible buildings of rank two that admit the action of root groups. In a book on the topic, Tits and Richard Weiss[1] classify them all. An earlier theorem, proved independently by Tits and Weiss,[2][3] showed that a Moufang polygon must be a generalized 3-gon, 4-gon, 6-gon, or 8-gon, so the purpose of the aforementioned book was to analyze these four cases.
- ^ Tits, Jacques; Weiss, Richard (2013) [2002]. Moufang Polygons. Springer Monographs in Mathematics. Springer. ISBN 978-3-662-04689-0.
- ^ Tits, Jacques (1976). "Non-existence de certains, polygones généralisés, I, II". Inventiones Mathematicae. 36 (1): 275–284. Bibcode:1976InMat..36..275T. doi:10.1007/BF01390013. S2CID 189829929. 51 (3), (1979) 267–269 doi:10.1007/BF01389919.
- ^ Weiss, Richard (1979). "The nonexistence of certain Moufang polygons". Inventiones Mathematicae. 51 (3): 261–6. Bibcode:1979InMat..51..261W. doi:10.1007/BF01389918. S2CID 120137397.