Local crossed-product orders of finite representation type (Q1075414)

L/K is a finite Galois extension, with Galois group G; S, R are the valuation rings of L, respectively K, R being a complete and discrete valuation ring. Finally, \(\alpha\) is a factor set on \(G\times G\), having values in the units of S. (S/R,\(\alpha)\) is the crossed product order, based on the free S-module with basis G. In the paper, necessary and sufficient conditions in order that (S/R,\(\alpha)\) be of finite representation type are established.