Bulletin of the American Mathematical Society

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Book Information:

Author: K. S. Brown
Title: Buildings
Additional book information: Springer-Verlag, New York, Berlin, Heidelberg, 1989, viii + 215 pp., $39.00. ISBN 0-387-96876-8.

Author: M. A. Ronan
Title: Lectures on buildings
Additional book information: Perspectives in Mathematics, No. 7, Academic Press, Orlando, 1989, xii + 216 pp., $27.95. ISBN 0-12-594750-X.

A. Borel and J.-P. Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973), 436–491. MR 387495, DOI 10.1007/BF02566134

A. Borel and J.-P. Serre, Cohomologie d’immeubles et de groupes $S$-arithmétiques, Topology 15 (1976), no. 3, 211–232 (French). MR 447474, DOI 10.1016/0040-9383(76)90037-9

3.

N. Bourbaki, Groupes et algèbres de Lie, Chaps. 4-6, Hermann, Paris, 1968; Masson, Paris, 1981.

F. Bruhat and J. Tits, Groupes algébriques sur un corps local. Chapitre III. Compléments et applications à la cohomologie galoisienne, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), no. 3, 671–698 (French). MR 927605

5.

C. W. Curtis, Review of Buildings of spherical type and finite BN-pairs, Bull. Amer. Math. Soc. 81 (1975), 652-657.

N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of ${\mathfrak {p}}$-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 5–48. MR 185016

Stephen A. Mitchell, Quillen’s theorem on buildings and the loops on a symmetric space, Enseign. Math. (2) 34 (1988), no. 1-2, 123–166. MR 960196

8.

M. A. Ronan, Buildings: main ideas and applications, Bull. London Math. Soc. (to appear).

M. A. Ronan and J. Tits, Building buildings, Math. Ann. 278 (1987), no. 1-4, 291–306. MR 909229, DOI 10.1007/BF01458072

Jacques Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics, Vol. 386, Springer-Verlag, Berlin-New York, 1974. MR 0470099

J. Tits, On buildings and their applications, Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974) Canad. Math. Congress, Montreal, Que., 1975, pp. 209–220. MR 0439945

J. Tits, A local approach to buildings, The geometric vein, Springer, New York-Berlin, 1981, pp. 519–547. MR 661801

Jacques Tits, Immeubles de type affine, Buildings and the geometry of diagrams (Como, 1984) Lecture Notes in Math., vol. 1181, Springer, Berlin, 1986, pp. 159–190 (French). MR 843391, DOI 10.1007/BFb0075514

1.

A. Borel and J.-P. Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1974), 244-297. MR 0387495

2.

A. Borel and J.-P. Serre, Cohomologie d'immeubles et de groupes S-arithmétiques, Topology 15 (1976), 211-232. MR 447474

3.

N. Bourbaki, Groupes et algèbres de Lie, Chaps. 4-6, Hermann, Paris, 1968; Masson, Paris, 1981.

4.

F. Bruhat and J. Tits, Groupes réductifs sur un corps local. I, Inst. Hautes Études Sci. Publ. Math. No. 41 (1972), 5-251; II. ibid. No. 60 (1984), 197-376; III, J. Fac. Sci. Univ. Tokyo, IA, Math. 34 (1987), 671-698. MR 927605

5.

C. W. Curtis, Review of Buildings of spherical type and finite BN-pairs, Bull. Amer. Math. Soc. 81 (1975), 652-657.

6.

N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. No. 25 (1965), 5-48. MR 185016

7.

S. A. Mitchell, Quilien's theorem on buildings and the loops on a symmetric space, Enseign. Math. 34 (1988), 123-166. MR 960196

8.

M. A. Ronan, Buildings: main ideas and applications, Bull. London Math. Soc. (to appear).

9.

M. A. Ronan and J. Tits, Building buildings, Math. Ann. 278 (1987), 291-306. MR 909229

10.

J. Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Math., vol. 386, Springer-Verlag, Berlin, and New York, 1974. MR 470099

11.

J. Tits, On buildings and their applications, Proc. Internat. Congress of Mathematicians (Vancouver 1974), pp. 209-220. MR 439945

12.

J. Tits, A local approach to buildings, The Geometric Vein (Coxeter Festschrift), pp. 317-322, Springer-Verlag, New York, 1981. MR 661801

13.

J. Tits, Immeubles de type affine, Buildings and the Geometry of Diagrams (Como 1984), Lecture Notes in Math., vol. 1181, pp. 159-190, Springer-Verlag, Berlin and New York, 1986. MR 843391