Some Correspondences for Galois Skew Group Rings

George Szeto and Lianyong Xue

Abstract: Let $S$ be a ring with 1, $G$ a finite automorphism group of $S$, and $S\ast G$ a skew group ring of $G$ over $S$ which is Azumaya. Two correspondence theorems are shown between a class of subgroups of $G$ and a class of the Azumaya algebras contained in $S\ast G$.

Keywords: Galois extensions of rings; Azumaya algebras; skew group rings.

Classification (MSC2000): 16S30, 16W20.

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