Small asymmetric sumsets in elementary abelian 2-groups

Details Small asymmetric sumsets in elementary abelian 2-groups Small asymmetric sumsets in elementary abelian 2-groups

2011-09-21

arxiv.org/abs/1109.4670v2

Mathematics

Combinatorics

6 pages

Scientific paper

Let A and B be subsets of an elementary abelian 2-group G, none of which are contained in a coset of a proper subgroup. Extending onto potentially distinct summands a result of Hennecart and Plagne, we show that if |A+B|<|A|+|B|, then either A+B=G, or the complement of A+B in G is contained in a coset of a subgroup of index at least 8, whence |A+B| is at least 7/8 |G|. We indicate conditions for the containment to be strict, and establish a refinement in the case where the sizes of A and B differ significantly.

Affiliated with

Also associated with

No associations

Rating

Small asymmetric sumsets in elementary abelian 2-groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Small asymmetric sumsets in elementary abelian 2-groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Small asymmetric sumsets in elementary abelian 2-groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-261781