Quelques éléments dans l'homotopie stable du groupe unitaire

Vincent Franjou

Bulletin de la Société Mathématique de France (1987)

  • Volume: 115, page 309-328
  • ISSN: 0037-9484

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Franjou, Vincent. "Quelques éléments dans l'homotopie stable du groupe unitaire." Bulletin de la Société Mathématique de France 115 (1987): 309-328. <http://eudml.org/doc/87535>.

@article{Franjou1987,
author = {Franjou, Vincent},
journal = {Bulletin de la Société Mathématique de France},
keywords = {hypersurfaces; stable homotopy of the infinite unitary group; Hurewicz map; generator of the primitives; Thom-Pontryagin construction; e- invariant; p-local splitting of U(m)},
language = {fre},
pages = {309-328},
publisher = {Société mathématique de France},
title = {Quelques éléments dans l'homotopie stable du groupe unitaire},
url = {http://eudml.org/doc/87535},
volume = {115},
year = {1987},
}

TY - JOUR
AU - Franjou, Vincent
TI - Quelques éléments dans l'homotopie stable du groupe unitaire
JO - Bulletin de la Société Mathématique de France
PY - 1987
PB - Société mathématique de France
VL - 115
SP - 309
EP - 328
LA - fre
KW - hypersurfaces; stable homotopy of the infinite unitary group; Hurewicz map; generator of the primitives; Thom-Pontryagin construction; e- invariant; p-local splitting of U(m)
UR - http://eudml.org/doc/87535
ER -

References

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  3. [Ad] ADAMS (J.). — Stable homotopy and generalised homology, Chicago Lectures in Math., part II-III, 1974. Zbl0309.55016MR53 #6534
  4. [BCRS] BAKER (A.), CLARKE (F.), RAY (N.) and SCHWARTZ (L.). — The Kummer congruences and the stable homotopy of BU, preprint Swansea, 1985. 
  5. [BR] BAKER (A.) and RAY (N.). — Some infinite families of U-hypersurfaces, Math. Scand., vol. 50, 1982, p. 149-166. Zbl0513.57017MR84i:55008
  6. [BRS] BAKER (A.), RAY (N.) et SCHWARTZ (L.). — Hypersurfaces framées et l'élément β1 de Toda, preprint Orsay, 1985. 
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  8. [EW] ECCLES (P.) and WALKER (G.). — The elements β1 are representable as framed hypersurfaces, J. Lon. Math. Soc., vol. 22, 1980, p. 159. Zbl0427.55011MR81f:55012
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  11. [Ja] JAMES (G. D.). — The representation theory of the symmetric groups, Lecture Notes in Math., 682, Springer, 1978. Zbl0393.20009MR80g:20019
  12. [J] JAMES (I.). — The topology of Stiefel manifolds, London Math. Soc. Lecture Notes, vol. 24, chap. 7, 1976. Zbl0337.55017MR55 #4240
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  15. [RS] RAY (N.) and SCHWARTZ (L.). — Embedding certain complexes via unstable homotopy theory, A.M.S. Contemp. Math., vol. 19, 1983, p. 331-338. Zbl0518.55011MR85e:55028
  16. [RE] REES (E.). — Framings on hypersurfaces, J. Lon. Math. Soc., vol. 22, 1980, p. 161-167. Zbl0413.55010MR82e:57011
  17. [R] ROBINSON (G. de B.). — Representation theory of the symmetric group, Univ. of Toronto Press, 1961. Zbl0102.02002
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  19. [SF] FRANJOU (V.) and SCHWARTZ (L.). — Hypersurfaces et homotopie stable de U, Comptes rendus, tome 299, série I, 1984, p. 619-622. Zbl0571.55011MR86e:55017

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