A structure theory for small sum subsets
Some results in additive number theory I: The critical pair theory
Zero-sumfree sequences in cyclic groups and some arithmetical application
We show that in a cyclic group with elements every zero-sumfree sequence with length contains some element of order with high multiplicity.
An inverse theorem mod p
On zero-free subset sums
A generalization of Freiman's 3k-3 Theorem
A multiple set version of the 3k-3 theorem.
On the critical pair theory in ℤ/pℤ
On some subgroup chains related to Kneser’s theorem
A recent result of Balandraud shows that for every subset of an abelian group there exists a non trivial subgroup such that holds only if . Notice that Kneser’s Theorem only gives . This strong form of Kneser’s theorem follows from some nice properties of a certain poset investigated by Balandraud. We consider an analogous poset for nonabelian groups and, by using classical tools from Additive Number Theory, extend some of the above results. In particular we obtain short proofs...
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