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On discrete chamber-transitive automorphism groups of affine buildings

Author(s): W. M. Kantor; R. A. Liebler; J. Tits
Journal: Bull. Amer. Math. Soc. 16 (1987), 129-133.
MSC (1985): Primary 20G25, 20H15
MathSciNet review: 866031
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References:

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[BrT] F. Bruhat and J. Tits, Groupes réductifs sur un corps local. I, Données radicielles valuées, Publ. Math. Inst. Hautes Études Sci. 41 (1972), 5-251. MR 327923

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[K2] W. M. Kantor, Some locally finite flag-transitive buildings, European J. Combin. (to appear). MR 930178

[K3] W. M. Kantor, Generalized polygons, SCABs and GABS, Buildings and the Geometry of Diagrams: CIME Session, Como 1984 (L. A. Rosati, ed.), Lecture Notes in Math., vol. 1181, Springer-Verlag, 1986, pp. 79-158. MR 843390

[KaMW] W. M. Kantor, T. Meixner, and M. Wester (in preparation).

[KMW1] P. Köhler, T. Meixner, and M. Wester, The 2-adic affine building of type Ã2 and its finite projections, J. Combinatorial Theory (A) 38 (1985), 203-209. MR 784716

[KMW2] P. Köhler, The affine building of type Ã2 over a local field of characteristic two, Arch. Math. 42 (1984), 400-407. MR 756691

[LS] V. Landazuri and G. M. Seitz, On the minimal degrees of projective representations of the finite Chevalley groups, J. Algebra 32 (1974), 418-443. MR 360852

[M] T. Meixner, Gruppen mit parabolischen Systemen, Habilitationsschrift, Giessen, 1985.

[MW] T. Meixner and M. Wester, Some locally finite buildings derived from Kantor's 2-adic groups, Comm. Algebra 14 (1986), 389-410. MR 823342

[Mu] D. Mumford, An algebraic surface with K ample, (K2) = 9, p = q = 0, Amer. J. Math 101 (1979), 233-244. MR 527834

[S] G. M. Seitz, Flag-transitive subgroups of Chevalley groups, Ann. of Math. (2) 97 (1973), 27-56; correction (unpublished). MR 340446

[T1] J. Tits, Reductive groups over local fields. Proc. Sympos. Pure Math., vol. 33, part I, Amer. Math. Soc., Providence, R.I., 1979, pp. 29-69. MR 546588

[T2] J. Tits, Buildings and group amalgamations, Proc. St. Andrews Group Theory Conf., 1985 (C. Campbell and E. Robertson, eds.), Cambridge Univ. Press (to appear). MR 896503

[T3] J. Tits, Éléments unipotents et sous-groupes paraboliques de groupes réductifs. II, Proc. Conf. Algebraic Groups, Utrecht, 1986 (to appear).

[T4] J. Tits, Immeubles de type affine, Buildings and the Geometry of diagrams: CIME Session, Como 1984 (L. A. Rosati, ed.), Lecture Notes in Math., vol. 1181, Springer-Verlag, 1986, pp. 159-190. MR 843391

[W] M. Wester, Endliche fahnentransitive Tits-Geometrien und ihre universellen Überlagerungen, Mitt. Math. Sem. Giessen 170 (1985), 1-143. MR 809993

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Additional Information:

DOI: 10.1090/S0273-0979-1987-15487-5
PII: S 0273-0979(1987)15487-5

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