Arbres, amalgames, $SL_2$ - Tome (1977) no. 46

Arbres, amalgames,

S L_{2}

Serre, Jean-Pierre

Notes prises par : Bass, Hyman

Astérisque, no. 46 (1977) , 198 p.

MR Zbl | 57 citations dans Numdam

@book{AST_1983__46__1_0,
     author = {Serre, Jean-Pierre},
     title = {Arbres, amalgames, $SL_2$},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {46},
     year = {1977},
     mrnumber = {476875},
     zbl = {0369.20013},
     language = {fr},
     url = {http://www.numdam.org/item/AST_1983__46__1_0/}
}

TY  - BOOK
AU  - Serre, Jean-Pierre
TI  - Arbres, amalgames, $SL_2$
T3  - Astérisque
PY  - 1977
IS  - 46
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/AST_1983__46__1_0/
LA  - fr
ID  - AST_1983__46__1_0
ER  -

%0 Book
%A Serre, Jean-Pierre
%T Arbres, amalgames, $SL_2$
%S Astérisque
%D 1977
%N 46
%I Société mathématique de France
%U http://www.numdam.org/item/AST_1983__46__1_0/
%G fr
%F AST_1983__46__1_0

Serre, Jean-Pierre. Arbres, amalgames, $SL_2$. Astérisque, no. 46 (1977), Bass, Hyman (red.), 198 p. http://numdam.org/item/AST_1983__46__1_0/

Bibliographie
Cité par

[1] H. S. M. Coxeter and W. O. J. Moser - Generators and relations for discrete groups, Ergebn. der Math. 14 (zw. Aufl.), Springer-Verlag, 1965. | MR | Zbl

[2] R. C. Lyndon and P. E. Schupp - Combinatorial Group Theory, Springer-Verlag, 1977. | MR | Zbl

[3] W. Magnus, A. Karrass and D. Solitar - Combinatorial Group Theory : presentations of groups in terms of generators and relations, Intersc. Publ., New York, 1966. | MR | Zbl

[4] B. H. Neumann - An essay on free products of groups with amalgamations, Phil. Trans. Royal Soc. London, 246 (1954), p. 503-554 | MR | Zbl | DOI

[5] K. Reidemeister - Einführung in die kombinatorische Topologie, Braunschweig, 1932 (réimpr. Chelsea, 1950). | MR | Zbl | JFM

[6] J. Stallings - A topological proof of Gruško's theorem on free products, Math. Zeit., 90 (1965), p. 1-8. | MR | Zbl | EuDML | DOI

[7] J. Stallings - On torsion-free groups with infinitely many ends, Ann. of Math., 88 (1968), p. 312-334 | MR | Zbl | DOI

[8] J. Stallings - Group Theory and 3-dimensional manifolds, Yale Univ. Press, 1971. | Zbl

[9] H. Bass - Some remarks on group actions on trees, Comm. in Algebra, 4 (1976), p. 1091-1126. | MR | Zbl | DOI

[10] I. M. Chiswell - Abstract length functions in groups, Math. Proc. Cambridge Phil. Soc., 80 (1976), p. 451-463 | MR | Zbl | DOI

[11] J. Tits - Sur le groupe des automorphismes d'un arbre, Essays on Topology and related topics, Mémoires dédiés à Georges de Rham, Springer-Verlag, 1970, p. 188-211. | MR | Zbl | DOI

[12] J. Tits - A "Theorem of Lie-Kolchin" for Trees, Contributions to Algebra, A Collection of Papers Dedicated to Ellis Kolchin, p. 377-388, Academic Press, 1977. | MR | Zbl

[13] P. Cartier - Géométrie et analyse sur les arbres, Sém. Bourbaki 1971/72, exposé 407, Lect. Notes in Math. 317, p. 123-140, Springer-Verlag, 1973 | DOI | MR | EuDML | Zbl | Numdam

[14] P. Cartier - Fonctions harmoniques sur un arbre, Symposia Mathematica, 9 (1972), p. 203-270. | MR | Zbl

[15] Y. Ihara - Discrete subgroups of $P L (2, k_{p})$ , Proc. Symposia Pure Math. IX, AMS 1966, p. 272-278. | MR | Zbl

[16] Y. Ihara - On discrete subgroups of the two by two projective linear group over $p$ -adic fields, J. Math. Soc. Japan, 18 (1966), p. 219-235. | MR | Zbl | DOI

[17] Y. Manin and V. Drinfeld - Periods of $p$ -adic Schottky groups, J. Crelle, 262/263 (1973), p. 239-247. | MR | Zbl | EuDML

[18] D. Mumford - An analytic construction of degenerating curves over complete local rings, Comp. Math., 24 (1972), p. 129-174. | EuDML | Zbl | MR | Numdam

[19] H. Nagao - On $G L (2, K [x])$ , J. Poly. Osaka Univ., 10 (1959), p. 117-121. | MR | Zbl

[20] J-P. Serre - Le problème des groupes de congruence pour $S L_{2}$ , Ann. of Math., 92 (1970), p. 489-527. | MR | Zbl | DOI

[21] U. Stuhler, Zur Frage der endlichen Präsentierbarkeit gewisser arithmetischer Gruppen im Funktionenkörperfall, Math. Ann., 224 (1976), p. 217-232. | MR | Zbl | EuDML | DOI

[22] M. F. Atiyah - Vector bundles over an elliptic curve, Proc. London Math. Soc., Third Series, 7 (1957), p. 414-452. | MR | Zbl | DOI

[23] A. Grothendieck - Sur la classification des fibrés holomorphes sur la sphère de Riemann, Amer. J. of Math., 79 (1957), p. 121-138. | MR | Zbl | DOI

[24] G. Harder - Minkowskische Reduktionstheorie über Funktionenkörpern, Invent. Math., 7 (1969), p. 33-54. | MR | Zbl | EuDML | DOI

[25] G. Harder and M. S. Narasimhan - On the Cohomology Groups of Moduli Spaces of Vector Bundles on Curves, Math. Ann., 212 (1975), p. 215-248. | MR | Zbl | EuDML | DOI

[26] C. S. Seshadri - Mumford's conjecture for $G L (2)$ and applications, Proc. Bombay Coll. on Algebraic Geometry, p. 347-371, Tata Press Lim., 1968. | MR | Zbl

[27] A. N. Tiurin - Classification of vector fiberings over an algebraic curve, Amer. Math. Soc. Transl. 63 (1967), p. 245-279. | Zbl

[28] A. Borel - Cohomologie de sous-groupes discrets et représentations de groupes semi-simples, Astérisque 32-33 (1976), p. 73-112 | MR | Zbl | Numdam

[29] A. Borel et J-P. Serre - Cohomologie d'immeubles et de groupes $S$ -arithmétiques, Topology, 15 (1976), p. 211-232 | MR | Zbl | DOI

[30] D. E. Cohen - Groups of Cohomological Dimension One, Lect. Notes in Math. 245, Springer-Verlag, 1972 | MR | Zbl

[31] K. Gruenberg - Cohomological Topics in Group Theory, Lect. Notes in Math. 143, Springer-Verlag, 1970 | MR | Zbl

[32] G. Harder - On the cohomology of $S L_{2} (\underset{̲}{0})$ , Lie Groups and their Representations (edited by I.M. Gelfand), p. 139-151, Adam Hilger Ltd., London, 1975 | MR | Zbl

[33] M. S. Raghunathan - Discrete subgroups of Lie groups, Ergebn. der Math. 68, Springer-Verlag, 1972 | MR | Zbl

[34] J-P. Serre - Cohomologie des groupes discrets, Ann. Math. Studies 70, p.77-169, Princeton Univ. Press, 1971 | MR | Zbl

[35] R. G. Swan - Groups of Cohomological Dimension One, J. of Algebra, 12 (1969), p. 585-610. | MR | Zbl | DOI

[36] N. Bourbaki -.Groupes et Algèbres de Lie, chap. IV, Groupes de Coxeter et systèmes de Tits, Hermann, Paris, 1968 | Zbl

[37] F. Bruhat et J. Tits - Groupes algébriques simples sur un corps local, Proc. Conf. Local Fields, p. 23-36, Springer-Verlag, 1967 | MR | Zbl | DOI

[38] F. Bruhat et J. Tits - Groupes réductifs sur un corps local. I. Données radicielles valuées, Publ. Math. IHES, 41 (1972), p. 5-251 | DOI | MR | Zbl | EuDML | Numdam

[39] N. Iwahori and H. Matsumoto - On some Bruhat decomposition and the structure of the Hecke ring of $p$ -adic Chevalley groups, Publ. Math. IHES, 25 (1965) p. 5-48. | DOI | MR | Zbl | EuDML | Numdam

[40] J. Tits - Structures et groupes de Weyl, Sém. Bourbaki 1964/65, exposé 288, Benjamin, New York, 1966. | Zbl | EuDML | Numdam

[41] J. Tits - Buildings of Spherical Type and Finite $B N$ -pairs, Lect. Notes in Math. 386, Springer-Verlag, 1974. | MR | Zbl

[42] I. M. Chiswell - Groups acting on Trees, Lectures at Queen Mary College, Londres, 1976/77

[43] I. M. Chiswell - The Bass-Serre theorem revisited, J. pure and applied Algebra, 15 (1979), p. 117-123 | Zbl | MR | DOI

[44] W. Dicks - Groups, Trees and Projective Modules, Lect. Notes in Math. 790, Springer-Verlag, 1980 | MR | Zbl

[45] M. J. Dunwoody - Accessibility and Groups of Cohomological Dimension One, Proc. London Math. Soc. (3), 38 (1979), p. 193-215. | MR | Zbl | DOI

[46] G. P. Scott et C.T.C. Wall - Topological Methods in Group Theory, LMS Lect. Notes 36, p. 137-203, Cambridge Univ. Press, 1979 | MR | Zbl

[47] C. Soulé - Chevalley Groups over Polynomial Rings, LMS Lect. Notes 36, p. 359-367, Cambridge Univ. Press, 1979 | MR | Zbl