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Revisiting Kneser’s Theorem for Field Extensions.
- 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