We give conditions for the skew group ring S * G to be strongly separable and H-separable over the ring S. In particular we show that the H-separability is equivalent to S being central Galois extension. We also look into the H-separability of the ring S over the fixed subring R under a faithful action of a group G. We show that such a chain: S * G H-separable over S and S H-separable over R cannot occur, and that the centralizer of R in S is an Azumaya algebra in the presence of a central element of trace one.
@article{urn:eudml:doc:41717,
title = {Non-commutative separability and group actions.},
journal = {Publicacions Matem\`atiques},
volume = {36},
year = {1992},
pages = {359-367},
mrnumber = {MR1209807},
zbl = {0788.16020},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41717}
}
Alfaro, Ricardo. Non-commutative separability and group actions.. Publicacions Matemàtiques, Tome 36 (1992) pp. 359-367. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41717/