WITHDRAWN: The inverse Erdos-Heilbronn Problem for restricted set addition in finite groups. arXiv:1206.3966
Preprint, arXiv:1206.3966 [math.CO] (2012); retraction notice ibid.
Editorial note: This arXiv submission has been withdrawn.
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 prove a slight extension to an inverse theorem of Dias da Silva-Hamidoune in Z/pZ, and we present a counterexample to an open conjecture concerning the inverse Erdos-Heilbronn problem in nonabelian groups.
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 prove a slight extension to an inverse theorem of Dias da Silva-Hamidoune in Z/pZ, and we present a counterexample to an open conjecture concerning the inverse Erdos-Heilbronn problem in 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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