9 citations · 31 across the 11 of their papers we have counts for
11 papers
A Structure Theory for Small Sum Subsets
Yahya Ould Hamidoune
We develop a new method leading the structure of finite subsets S and T of an abelian group with . We show also how to recover the known results in this area in a…
Hyper-atoms and the critical pair Theory
Yahya Ould Hamidoune
We introduce the notion of a hyper-atom. One of the main results of this paper is the --Theorem: Let be a finite generating subset of an abelian group of orde…
A note on Pollard's Theorem
Y. O. Hamidoune, O. Serra
Let be nonempty subsets of a an abelian group . Let denote the set of elements of having distinct decompositions as a product of an element of and a…
A weighted generalization of Gao's n+D-1 Theorem
Yahya O. Hamidoune
Let denotes a finite abelian group of order and Davenport constant , and put . Let be a sequence with a maximal repetition at…
Hyper-atoms and the Kemperman's critical pair Theory
Yahya O. Hamidoune
In the present work, we introduce the notion of a hyper-atom and prove their main structure theorem. We then apply the global isoperimetric methodology to give a new proof for Kemp…
The global isoperimetric methodology applied to Kneser's Theorem
Yahya O. Hamidoune
We give in the present work a new methodology that allows to give isoperimetric proofs, for Kneser's Theorem and Kemperman's structure Theory and most sophisticated results of this…