On the Freiman Theorem in Finite Fields
Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 472-474
Voir la notice de l'article provenant de la source Math-Net.Ru
Keywords:
Freiman theorem, set addition, finite field, Abelian group, Hamming metric, arithmetic progression, doubling constant.
S. V. Konyagin. On the Freiman Theorem in Finite Fields. Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 472-474. http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a12/
@article{MZM_2008_84_3_a12,
author = {S. V. Konyagin},
title = {On the {Freiman} {Theorem} in {Finite} {Fields}},
journal = {Matemati\v{c}eskie zametki},
pages = {472--474},
year = {2008},
volume = {84},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a12/}
}
[1] G. A. Freiman, Osnovaniya strukturnoi teorii slozheniya mnozhestv, Kazanskii gos. ped. in-t, Kazan, 1966 | MR | Zbl
[2] I. Ruzsa, Structure Theory of Set Addition, Astérisque, 258, Soc. Math. France, Paris, 1999, 323–326 | MR | Zbl
[3] J. M. Deshoulliers, F. Hennecart, A. Plagne, Combinatorica, 24:1 (2004), 53–68 | DOI | MR | Zbl
[4] B. J. Green, I. Z. Ruzsa, Bull. London Math. Soc., 38:1 (2006), 43–52 | DOI | MR | Zbl
[5] T. Sanders, A note of Freiman's theorem in vector spaces, arXiv: math/0605523
[6] B. Green, T. Tao, Freiman's theorem in finite fields via extremal set theory, arXiv: math/0703668