A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions (Q1998715)

Summary: Let \(H\) be a Krull monoid with finite class group \(G\) and suppose that every class contains a prime divisor. Then sets of lengths in \(H\) have a well-defined structure which depends only on the class group \(G\). With methods from additive combinatorics we establish a characterization of those class groups \(G\) guaranteeing that all sets of lengths are (almost) arithmetical progressions.