8 citations · 17 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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…
On Some Subgroup Chains Related to Kneser's Theorem
Yahya Ould Hamidoune, Oriol Serra, Gilles Zemor
A recent result of Balandraud shows that for every subset S of an abelian group G, there exists a non trivial subgroup H such that |TS| <= |T|+|S|-2 holds only if the stabilizer of…
On the critical pair theory in Z/pZ
Yahya Ould Hamidoune, Oriol Serra, Gilles Zemor
Let A and B be subsets of Z/pZ such that |A+B| < |A|+|B|+2. We prove that, if |A|>3, |B|>4, |A+B|<p-4 and p > 52, then A and B are included in arithmetic progressions with the same…