9 citations · 31 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
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…
On complete subsets of the cyclic group
Y. O. Hamidoune, A. S. Lladó, O. Serra
A subset of an abelian is said to be {\em complete} if every element of the subgroup generated by can be expressed as a nonempty sum of distinct elements from . Let…