Voir la notice de l'article provenant de la source Cambridge University Press
Fulton, John D. Representations by Hermitian Forms in a Finite Field of Characteristic Two. Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 169-179. doi: 10.4153/CJM-1977-017-5
@article{10_4153_CJM_1977_017_5,
author = {Fulton, John D.},
title = {Representations by {Hermitian} {Forms} in a {Finite} {Field} of {Characteristic} {Two}},
journal = {Canadian journal of mathematics},
pages = {169--179},
year = {1977},
volume = {29},
number = {1},
doi = {10.4153/CJM-1977-017-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-017-5/}
}
TY - JOUR AU - Fulton, John D. TI - Representations by Hermitian Forms in a Finite Field of Characteristic Two JO - Canadian journal of mathematics PY - 1977 SP - 169 EP - 179 VL - 29 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-017-5/ DO - 10.4153/CJM-1977-017-5 ID - 10_4153_CJM_1977_017_5 ER -
[1] 1. Brawley, J. and Carlitz, L., Enumeration of matrices with prescribed row and column sums, Lin. Alg. and its Applications 6 (1973), 165–174. Google Scholar
[2] 2. Buckhiester, P., Rank r solutions to the matrix equation XAXT = C, A nonalternate, C alternate, overGFip), Can. J. Math. 26 (1974), 78–90. Google Scholar
[3] 3. Buckhiester, P. Rank r solutions to the matrix equation XAXT = C, A alternate, over GF﹛2y), Trans. Amer. Math. Soc. 189 (1974), 201–209. Google Scholar
[4] 4. Buckhiester, P. Rank r solutions to the matrix equation XAXT = C, A and C nonalternate, over GF﹛), Math. Nachr. 63 (1974), 413–422. Google Scholar
[5] 5. Carlitz, L., Gauss sums over finite fields of order 2n, Acta Arith. 15 (1969), 247–265. Google Scholar
[6] 6. Carlitz, L. The number of solutions of certain matrix equations over a finite field, Math. Nachr. 56 (1973), 105–109. Google Scholar
[7] 7. Carlitz, L. and Hodges, J., Representations by Hermitian forms in a finite field, Duke Math. J. 22 (1965), 393–406. Google Scholar
[8] 8. Dickson, L., Linear groups with an exposition of the Galois theory (Leipzig, reprinted by Dover, 1958). Google Scholar
[9] 9. Fulton, J., Gauss sums and solutions to simultaneous equations over GF﹛2r, to appear, Acta Arith. Google Scholar
[10] 10. Fulton, J. Representations by quadratic forms of arbitrary rank in a finite field of characteristic two, Linear And Multilinear Algebra 4 (1976), 89–101. Google Scholar
[11] 11. Hodges, J., An Hermitian matrix equation over a finite field, Duke Math. J. 33 (1966), 123- 130. Google Scholar
[12] 12. Jacobson, N., Lectures in abstract algebra, Volume II (New York, 1953). Google Scholar | DOI
[13] 13. Kaplansky, I., Linear algebra and geometry (Boston, 1969). Google Scholar
[14] 14. Perkins, J., Rank r solutions to the matrix equation XXT = 0 over afield of characteristic two, Math. Nachr. 48 (1971), 69–76. Google Scholar
[15] 15. Wall, G., On the conjugacy classes in the unitary, symplectic and orthogonal groups, J. Australian Math. Soc. 3 (1963), 1–62. Google Scholar
[16] 16. Wan, Z. and Yang, B., Studies infinite geometries and the construction of incomplete block designs, III: some “anzahl” theorems in unitary geometry over finite fields and their applications, Acta. Math. Sinica 15 (1965), 533-544 (Chinese Math. Acta 7 (1965), 252–264). Google Scholar
Cité par Sources :