Suren Jayasuriya, Steve Reich, Jeffrey Paul Wheeler
Published 2012-06-18, updated 2013-09-26Version 3
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.
Comments: Embarrassingly overlooked that we did not violate the extra conditions in Vosper's Theorem. There will be a followup paper we will title "On the inverse Erdos-Heilbronn problem for restricted set addition in finite groups"
On the Inverse Erdos-Heilbronn Problem for Restricted Set Addition in Finite Groups
The Cauchy-Davenport Theorem for Finite Groups
Sign balance for finite groups of Lie type
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