Remarques sur les matrices orthogonales (resp. symétriques) à coefficients p -adiques

Bertin Diarra

Annales scientifiques de l'Université de Clermont. Mathématiques (1990)

  • Volume: 95, Issue: 26, page 31-50
  • ISSN: 0249-7042

How to cite

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Diarra, Bertin. "Remarques sur les matrices orthogonales (resp. symétriques) à coefficients $p$-adiques." Annales scientifiques de l'Université de Clermont. Mathématiques 95.26 (1990): 31-50. <http://eudml.org/doc/80575>.

@article{Diarra1990,
author = {Diarra, Bertin},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
keywords = {orthogonal matrices; symmetric bilinear form; quadratic form; maximal totally isotropic subspaces; dimension; index; p-adic numbers; symmetric matrices},
language = {fre},
number = {26},
pages = {31-50},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Remarques sur les matrices orthogonales (resp. symétriques) à coefficients $p$-adiques},
url = {http://eudml.org/doc/80575},
volume = {95},
year = {1990},
}

TY - JOUR
AU - Diarra, Bertin
TI - Remarques sur les matrices orthogonales (resp. symétriques) à coefficients $p$-adiques
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1990
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 95
IS - 26
SP - 31
EP - 50
LA - fre
KW - orthogonal matrices; symmetric bilinear form; quadratic form; maximal totally isotropic subspaces; dimension; index; p-adic numbers; symmetric matrices
UR - http://eudml.org/doc/80575
ER -

References

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  1. [1] R. Deheuvels: Formes quadratiques et groupes classiques, P.U.F. - Paris - 1981. Zbl0467.15015MR657579
  2. [2] J. Dieudonne: Sur les groupes classiquesHermann -Paris - 1973. Zbl0926.20030MR344355
  3. [3] S.H. Friedberg: Extending the principal axis theorem to fields other than R, Ann. Math. Monthly - vol 97, n°2 - 1990 - p. 147-149. Zbl0735.15007MR1041894
  4. [4] P. Ribenboim: L'arithmétique des corps, Hermann - collection Méthodes -Paris - 1972. Zbl0253.12101MR330093
  5. [5] J.P. Serre: Cours d'arithmétique, P.U.F. - Le Mathématicien - 1970. Zbl0225.12002

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