@article{CM_1986__59_1_113_0, author = {Berger, Marc A. and Friedland, Shmuel}, title = {The generalized Radon-Hurwitz numbers}, journal = {Compositio Mathematica}, volume = {60}, year = {1986}, pages = {113-146}, mrnumber = {850125}, zbl = {0599.10014}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1986__59_1_113_0} }
Berger, Marc A.; Friedland, Shmuel. The generalized Radon-Hurwitz numbers. Compositio Mathematica, Tome 60 (1986) pp. 113-146. http://gdmltest.u-ga.fr/item/CM_1986__59_1_113_0/
[1] Vector fields on spheres, Ann. Math. 75 (1962) 603-632. | MR 139178 | Zbl 0112.38102
:[2] Geometric dimension of bundles over RPn, Proc. of the International Conference on Prospects of Math., Research Institute for Mathematical Sciences, Kyoto Univ., April 1973, 1-17. | MR 482761 | Zbl 0336.55021
:[3] Construction of some normed maps, Bol. Soc. Mat. Mexicana 23 (1978) 61-67. | MR 466253 | Zbl 0498.17014
:[4] Algebra lineal, campos vectoriales e inmersiones, III ELAM, IMPA, Rio de Janeiro, 1978.
:[5] On maximal sets of anticommuting matrices, Bol. Soc. Mat. Mexicana 23 (1978) 61-67. | MR 579663 | Zbl 0447.15008
:[6] On the Hurwitz problem over an arbitrary field I, Bol. Soc. Mat. Mexicana 25 (1980) 28-51. | MR 636968 | Zbl 0484.10013
:[7] On the Hurwitz problem over an arbitrary field II, Bol. Soc. Mat. Mexicana 26 (1981) 29-41. | MR 742013 | Zbl 0514.10016
:[8] Über Systems reeler algebraischer Gleichungen, Comp. Math. 7 (1939-40) 1-19. | JFM 65.0051.01 | Numdam | MR 226 | Zbl 0021.29301
:[9] Projective space immersions, bilinear maps and stable homotopy groups of spheres, Lecture Notes in Mathematics, Vol. 168, Springer, Berlin, 1970, 11-24. | MR 585649 | Zbl 0432.57009
:[10] On the classification of geometric algebras, published as paper XLIII in Mathematical Papers (ed. R. Tucker), Macmillan, London, 1882.
:[11] Gruppentheoretische Beweis des Satzes von Hurwitz-Radon über die Komposition quadratischer Formen, Comment. Math. Helvet. 15 (1942-43) 358-366. | MR 8592 | Zbl 0028.10402
:[12] Simultaneous similarity of matrices, Adv. Math. 50 (1983) 189-265. | MR 724475 | Zbl 0532.15009
:[13] On the crossing rule, Comm. Pure Appl. Math. (1984) 19-37. | MR 728265 | Zbl 0507.15009
, and :[14] Orthogonal Designs, Marcel Dekker, New York, 1979. | MR 534614 | Zbl 0411.05023
and :[15] The generalized vector field problem and bilinear maps, Bol. Soc. Mat. Mexicana 14 (1969) 65-69. | Zbl 0222.55026
and :[16] Ein topologischer Beitrag zur reelen Algebra, Comment. Math. Helvet. 13 (1940-41) 219-239. | JFM 67.0737.03 | MR 4785 | Zbl 0024.36002
:[17] Über die Komposition der quadratische Formen von beliebig vielen variabeln, Nachr. K. Gessellsch. Gottingen M. Ph. K1. (1898) 309-316. | JFM 29.0177.01
:[18] Über die Komposition der quadratischen Formen, Math. Ann. 88 (1923) 1-25. | JFM 48.1164.03 | MR 1512117
:[19] Non-singular bilinear forms and vector bundles over Pn, Ph.D. dissertation, Princeton University, 1966.
:[20] Construction of nonsingular bilinear maps, Topology 6 (1967) 423-426. | MR 217805 | Zbl 0149.40902
:[21] Topological methods for studying the composition of quadratic forms, Canad. Math. Soc. Conf. Proc. 4 (1984) 173-192. | MR 776453 | Zbl 0559.10013
:[22] Some new results on composition of quadratic forms, Invent. Math., 79 (1985) 467-474. | MR 782229 | Zbl 0559.10014
:[23] Lineare scharen orthogonalen matrizen, Abh. Math. Sem. Univ. Hamburg 1 (1922) 2-14. | JFM 48.0092.06
:[24] Products of sums of squares, Expos. Math., 2 (1984) 235-261. | MR 783137 | Zbl 0541.10025
:[25] Richtungsfelder und Fernparallelismus in n-dimensionalen Mannigfaltigkeiten, Comment. Math. Helvet. 8 (1936) 305-353. | JFM 62.0662.02 | MR 1509530 | Zbl 0014.41601
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