Abstract
The object of this paper is the comparison of two notions of (combinatorial) buildings, that of [14] (or [1]), and an earlier version (cf. e.g. [10]), which has lately regained interest through the work of F. Buekenhout on sporadic groups (cf. [2], [3], [16]).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bourbaki, N., Groupes et Algèbres de Lie, Chapters 4, 5, 6. Actu. Sci. Ind. No. 1337. Hermann, Paris 1968.
Buekenhout, F., Diagrams for geometries and groups. J. Comb. Theory (A) 27 (1979), 121–151.
Buekenhout, F., On the geometry of diagrams. Geom. Dedicata 8 (1979), 253–257.
Chevalley, C., Sur certains groupes simples. Tôhoku Math. J. (2) 7 (1955), 14–66.
Chevalley, C., Classification des groupes de Lie algébriques, I, II. Séminaire E. N. S., 1956-1958, mimeographed.
Tits, J., Sur certaines classes d’espaces homogènes de groupes de Lie. Mém. Acad. Roy. Belg. 29 (3), 1955.
Tits, J., Sur la géométrie des R-espaces. J. Math. P. et Appl. 36 (1957), 17–38.
Tits, J., Les groupes de Lie exceptionnels et leur interpretation géométrique. Bull. Soc. Math. Belg. 8 (1956), 48–181.
Tits, J., Les «formes réelles» des groupes de type E 6. Sém. Bourbaki, Exp. No. 162, févr. 1958.
Tits, J., Groupes algébriques semi-simples et géométries associées. In Proc. Coll. Algebraical and Topological Foundations of Geometry, Utrecht 1959, Pergamon Press 1962, 175–192.
Tits, J., Géométries polyédriques et groupes simples. In Deuxième Réunion du Groupement de Mathématiciens d’Expression Latine, Florence 1961, 66–88.
Tits, J., Structures et groupes de Weyl. Sém. Bourbaki, Exp. No. 288, févr. 1965.
Tits, J., Le problème des mots dans les groupes de Coxeter. 1st Naz. Aha Mat., Symposia Math. 1 (1968), 175–185.
Tits, J., Buildings of Spherical Types and Finite BN-Pairs. Lecture Notes in Math. No. 386, Springer, 1974.
Tits, J., Endliche Spiegelungsgruppen, die als Weylgruppen auftreten. Inventiones Math. 43 (1977), 283–295.
Tits, J., Buildings and Buekenhout geometries. In Finite simple groups, II, ed. M. J. Collins, Acad. Press 1980, 309–320.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag New York Inc.
About this paper
Cite this paper
Tits, J. (1981). A Local Approach to Buildings. In: Davis, C., Grünbaum, B., Sherk, F.A. (eds) The Geometric Vein. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5648-9_35
Download citation
DOI: https://doi.org/10.1007/978-1-4612-5648-9_35
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5650-2
Online ISBN: 978-1-4612-5648-9
eBook Packages: Springer Book Archive