An Essay on the Ree Octagons
Tóm tắt
Từ khóa
Tài liệu tham khảo
J. Dieudonné, La géeometric des groupes classiques, Springer, 3rd ed. (1971).
citation_journal_title=J. Algebra; citation_title=The non-existence of certain generalized polygons; citation_author=W. Feit, G. Higman; citation_volume=1; citation_publication_date=1964; citation_pages=114-131; citation_id=CR2
citation_journal_title=Ann. Discr. Math.; citation_title=Coordinatization of generalized quadrangles; citation_author=G. Hanssens, H. Van Maldeghem; citation_volume=37; citation_publication_date=1988; citation_pages=195-208; citation_id=CR3
citation_journal_title=Geom. Ded.; citation_title=Algebraic properties of quadratic quaternary rings; citation_author=G. Hanssens, H. Van Maldeghem; citation_volume=30; citation_publication_date=1989; citation_pages=43-67; citation_id=CR4
citation_journal_title=Ars Comb.; citation_title=Projectivities of generalized polygons; citation_author=N. Knarr; citation_volume=25B; citation_publication_date=1988; citation_pages=265-275; citation_id=CR5
citation_journal_title=Forum Math.; citation_title=The nonexistence of certain topological polygons; citation_author=N. Knarr; citation_volume=2; citation_publication_date=1990; citation_pages=603-612; citation_id=CR6
S. Löwe, “Über die Konstruktion von verallgemeinerten Vierecken mit einem regulären Punkt,” Habilitationsschrift, Braunschweig (1992).
S.E Payne and J.R Thas, Finite generalized quadrangles, Pitman, 1984.
M. Ronan, Lectures on buildings, Academic Press, Persp. Math. 7, 1989.
citation_journal_title=Geom. Ded.; citation_title=The geometry of root subgroups in Ree groups of type 2 F 4 ; citation_author=J. Sarli; citation_volume=26; citation_publication_date=1988; citation_pages=1-28; citation_id=CR10
citation_journal_title=J. Combin. Th. A; citation_title=A restriction on the parameters of a suboctagon; citation_author=J.A Thas; citation_volume=27; citation_publication_date=1979; citation_pages=385-387; citation_id=CR11
citation_journal_title=Publ. Math. IHES; citation_title=Sur la trialité et certains groupes qui s'en déduisent; citation_author=J. Tits; citation_volume=2; citation_publication_date=1959; citation_pages=14-60; citation_id=CR12
J. Tits, “Les groupes simples de Suzuki et de Ree,” Sem. Bourbaki exp. 210 (1960).
citation_journal_title=Arch. Math.; citation_title=Ovoïdes et groupes de Suzuki; citation_author=J. Tits; citation_volume=13; citation_publication_date=1962; citation_pages=187-198; citation_id=CR14
J. Tits, “Buildings of spherical type and finite BN-pairs,” Springer, Lecture Notes Math. 386, 1974.
J. Tits, “Quadrangles de Moufang. I,” preprint (1976).
citation_journal_title=Inv. Math.; citation_title=Non-existence de certains polygones généralisée I/II; citation_author=J. Tits; citation_volume=36; citation_publication_date=1976; citation_pages=275-284; citation_id=CR17
citation_journal_title=Am. J. Math.; citation_title=Moufang octagons and the Ree groups of type 2 F 4 ; citation_author=J. Tits; citation_volume=105; citation_publication_date=1983; citation_pages=539-594; citation_id=CR18
citation_journal_title=Arch. Math.; citation_title=Generalized polygons with valuation; citation_author=H. Van Maldeghem; citation_volume=53; citation_publication_date=1983; citation_pages=513-520; citation_id=CR19
citation_journal_title=European J. Combin.; citation_title=A configurational characterization of the Moufang generalized polygons; citation_author=H. Van Maldeghem; citation_volume=11; citation_publication_date=1990; citation_pages=362-372; citation_id=CR20
H. Van Maldeghem, “Common characterizations of the finite Moufang polygons,” Proc. Third Isle of Thorn Conference on Finite Geometries and Designs, Adv. Finite Geom. and Designs (1991), 391–400.
H. Van Maldeghem, “The geometry of traces in Ree octagons,” to appear in the proceedings of Groups of Lie type and their geometries, Como, 1993.
citation_journal_title=Israel J. Math.; citation_title=On finite Moufang polygons; citation_author=H. Van Maldeghem, R. Weiss; citation_volume=79; citation_publication_date=1992; citation_pages=321-330; citation_id=CR23
citation_journal_title=Inv. Math.; citation_title=The nonexistence of certain Moufang polygons; citation_author=R. Weiss; citation_volume=51; citation_publication_date=1979; citation_pages=261-266; citation_id=CR24
