The generalized Radon-Hurwitz numbers
Compositio Mathematica, Tome 59 (1986) no. 1, pp. 113-146.
@article{CM_1986__59_1_113_0,
     author = {Berger, Marc A. and Friedland, Shmuel},
     title = {The generalized {Radon-Hurwitz} numbers},
     journal = {Compositio Mathematica},
     pages = {113--146},
     publisher = {Martinus Nijhoff Publishers},
     volume = {59},
     number = {1},
     year = {1986},
     mrnumber = {850125},
     zbl = {0599.10014},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1986__59_1_113_0/}
}
TY  - JOUR
AU  - Berger, Marc A.
AU  - Friedland, Shmuel
TI  - The generalized Radon-Hurwitz numbers
JO  - Compositio Mathematica
PY  - 1986
SP  - 113
EP  - 146
VL  - 59
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1986__59_1_113_0/
LA  - en
ID  - CM_1986__59_1_113_0
ER  - 
%0 Journal Article
%A Berger, Marc A.
%A Friedland, Shmuel
%T The generalized Radon-Hurwitz numbers
%J Compositio Mathematica
%D 1986
%P 113-146
%V 59
%N 1
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1986__59_1_113_0/
%G en
%F CM_1986__59_1_113_0
Berger, Marc A.; Friedland, Shmuel. The generalized Radon-Hurwitz numbers. Compositio Mathematica, Tome 59 (1986) no. 1, pp. 113-146. http://archive.numdam.org/item/CM_1986__59_1_113_0/

[1] J.F. Adams: Vector fields on spheres, Ann. Math. 75 (1962) 603-632. | MR | Zbl

[2] J.F. Adams: 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 | Zbl

[3] J. Adem: Construction of some normed maps, Bol. Soc. Mat. Mexicana 23 (1978) 61-67. | MR | Zbl

[4] J. Adem: Algebra lineal, campos vectoriales e inmersiones, III ELAM, IMPA, Rio de Janeiro, 1978.

[5] J. Adem: On maximal sets of anticommuting matrices, Bol. Soc. Mat. Mexicana 23 (1978) 61-67. | MR | Zbl

[6] J. Adem: On the Hurwitz problem over an arbitrary field I, Bol. Soc. Mat. Mexicana 25 (1980) 28-51. | MR | Zbl

[7] J. Adem: On the Hurwitz problem over an arbitrary field II, Bol. Soc. Mat. Mexicana 26 (1981) 29-41. | MR | Zbl

[8] F. Behrend: Über Systems reeler algebraischer Gleichungen, Comp. Math. 7 (1939-40) 1-19. | JFM | Numdam | MR | Zbl

[9] A.J. Berrick: Projective space immersions, bilinear maps and stable homotopy groups of spheres, Lecture Notes in Mathematics, Vol. 168, Springer, Berlin, 1970, 11-24. | MR | Zbl

[10] W.K. Clifford: On the classification of geometric algebras, published as paper XLIII in Mathematical Papers (ed. R. Tucker), Macmillan, London, 1882.

[11] B. Eckmann: Gruppentheoretische Beweis des Satzes von Hurwitz-Radon über die Komposition quadratischer Formen, Comment. Math. Helvet. 15 (1942-43) 358-366. | MR | Zbl

[12] S. Friedland: Simultaneous similarity of matrices, Adv. Math. 50 (1983) 189-265. | MR | Zbl

[13] S. Friedland, J.W. Robin and J.H. Sylvester: On the crossing rule, Comm. Pure Appl. Math. (1984) 19-37. | MR | Zbl

[14] A.V. Geramita and J. Seberry: Orthogonal Designs, Marcel Dekker, New York, 1979. | MR | Zbl

[15] S. Gitler and K.Y. Lam: The generalized vector field problem and bilinear maps, Bol. Soc. Mat. Mexicana 14 (1969) 65-69. | Zbl

[16] H. Hopf: Ein topologischer Beitrag zur reelen Algebra, Comment. Math. Helvet. 13 (1940-41) 219-239. | JFM | MR | Zbl

[17] A. Hurwitz: Über die Komposition der quadratische Formen von beliebig vielen variabeln, Nachr. K. Gessellsch. Gottingen M. Ph. K1. (1898) 309-316. | JFM

[18] A. Hurwitz: Über die Komposition der quadratischen Formen, Math. Ann. 88 (1923) 1-25. | JFM | MR

[19] K.Y. Lam: Non-singular bilinear forms and vector bundles over Pn, Ph.D. dissertation, Princeton University, 1966.

[20] K.Y. Lam: Construction of nonsingular bilinear maps, Topology 6 (1967) 423-426. | MR | Zbl

[21] K.Y. Lam: Topological methods for studying the composition of quadratic forms, Canad. Math. Soc. Conf. Proc. 4 (1984) 173-192. | MR | Zbl

[22] K.Y. Lam: Some new results on composition of quadratic forms, Invent. Math., 79 (1985) 467-474. | MR | Zbl

[23] J. Radon: Lineare scharen orthogonalen matrizen, Abh. Math. Sem. Univ. Hamburg 1 (1922) 2-14. | JFM

[24] D.B. Shapiro: Products of sums of squares, Expos. Math., 2 (1984) 235-261. | MR | Zbl

[25] E. Stiefel: Richtungsfelder und Fernparallelismus in n-dimensionalen Mannigfaltigkeiten, Comment. Math. Helvet. 8 (1936) 305-353. | JFM | MR | Zbl