𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A generalization of Kneser’s conjecture

✍ Scribed by Hossein Hajiabolhassan


Book ID
113567417
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
218 KB
Volume
311
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Generalization of an Addition Theorem
✍ Xiang-Dong Hou; Ka Hin Leung; Qing Xiang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 109 KB

A theorem of Kneser states that in an abelian group G; if A and B are finite subsets in G and AB ¼ fab : a 2 A; b 2 Bg; then jABj5jAj þ jBj À jHðABÞj where HðABÞ ¼ fg 2 G : gðABÞ ¼ ABg: Motivated by the study of a problem in finite fields, we prove an analogous result for vector spaces over a field