On the Inverse Erdos-Heilbronn Problem for Restricted Set Addition in Finite Groups. arXiv:1210.6509
Preprint, arXiv:1210.6509 [math.CO] (2012).
Summary: We provide a survey of results concerning both the direct and inverse problems to the Cauchy-Davenport theorem and Erdos-Heilbronn problem in Additive Combinatorics. We formulate an open conjecture concerning the inverse Erdos-Heilbronn problem in nonabelian groups. We extend an inverse to the Dias da Silva-Hamidoune Theorem to Z/nZ where n is composite, and we generalize this result into nonabelian groups.
MSC:
| 11P99 | Additive number theory; partitions |
| 05E15 | Combinatorial aspects of groups and algebras (MSC2010) |
| 20D60 | Arithmetic and combinatorial problems involving abstract finite groups |
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