Revisiting Kneser’s Theorem for Field Extensions

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...

Full description

Saved in:

Bibliographic Details
Published in:	Combinatorica (Budapest. 1981) Vol. 38; no. 4; pp. 759 - 777
Main Authors:	Bachoc, Christine, Serra, Oriol, Zémor, Gilles
Format:	Journal Article Publication
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2018 Springer Springer Nature B.V Springer Verlag
Subjects:	11 Number theory 11P Additive number theory; partitions 12 Field theory and polynomials 12F Field extensions Addition theorem Additive combinatorics Classificació AMS Combinatorial analysis Combinatorics Field theory (Physics) linear versions Matemàtiques i estadística Mathematics Mathematics and Statistics Particions (Matemàtica) Partitions (Mathematics) Rings and Algebras Teoria de camps (física) Teoria de cossos i polinomis Teoria de nombres Theorems Àlgebra Àrees temàtiques de la UPC 11P70 11T99 12F99
ISSN:	0209-9683, 1439-6912
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!