Back to Search Start Over

Revisiting Kneser’s Theorem for Field Extensions.

Authors :
Bachoc, Christine
Serra, Oriol
Zémor, Gilles
Source :
Combinatorica; Aug2018, Vol. 38 Issue 4, p759-777, 19p
Publication Year :
2018

Abstract

A Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions. This theorem was known to be valid only in separable extensions, and it was a conjecture of Hou that it should be valid for all extensions. We give an alternative proof of the theorem that also holds in the non-separable case, thus solving Hou’s conjecture. This result is a consequence of a strengthening of Hou et al.’s theorem that is inspired by an addition theorem of Balandraud and is obtained by combinatorial methods transposed and adapted to the extension field setting. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02099683
Volume :
38
Issue :
4
Database :
Complementary Index
Journal :
Combinatorica
Publication Type :
Academic Journal
Accession number :
131517545
Full Text :
https://doi.org/10.1007/s00493-016-3529-0