Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A new proof of the Solomon-Tits theorem

Author(s): Chao Ku
Journal: Proc. Amer. Math. Soc. 126 (1998), 1941-1944.
MSC (1991): Primary 20E42
MathSciNet review: 1459131
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Abstract: We give a new proof of the Solomon-Tits Theorem which asserts that the Tits building of a finite group of Lie type has the homotopy type of a bouquet of spheres.

References:

[A]: M. Aschbacher, Finite Group Theory, Cambridge University Press, Cambridge,1986. MR 95b:20002
[B]: Bourbaki, N., Groupes et algebras de Lie, 4, 5, 6, Masson, Paris, 1981. MR 83g:17001
[CL]: C.W. Curtis and G. I. Lehrer, A new proof of a theorem of Solomon-Tits, Proc. of AMS v. 82, No. 2 (1982) 154-156. MR 83j:20048
[G]: H. Garland, $p$ -adic curvature and the cohomology of discrete subgroups of $p$ -adic groups, Ann. Math.(2) 97 (1973) 375-393. MR 47:8719
[S]: L. Solomon, The Steinberg character of a finite group with a -pair, Theory of Finite Groups, R. Brauer and C.H. Sah, Eds., Benjamin, New York, 1969, pp. 213-221. MR 40:220

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