A generalized kneser conjecture
β Scribed by K.S Sarkaria
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 270 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A theorem of Kneser states that in an abelian group G; if A and B are finite subsets in G and AB ΒΌ fab : a 2 A; b 2 Bg; then jABj5jAj ΓΎ jBj Γ jHΓ°ABΓj where HΓ°ABΓ ΒΌ fg 2 G : gΓ°ABΓ ΒΌ ABg: Motivated by the study of a problem in finite fields, we prove an analogous result for vector spaces over a field
In this paper, we derive a generalized version of abc-conjecture and prove its analogue for non-Archimedean entire functions as well as a generalized Mason's theorem on polynomials.
In [4], Garsia and Haiman [Electronic J. of Combinatorics 3, No. 2 (1996)] pose a conjecture central to their study of the Macdonald polynomials H + (x; q, t). For each + | &n one defines a certain determinant 2 + (X n , Y n ) in two sets of variables. The n! conjecture asserts that the vector space