Skew group rings which are Galois
2000 ◽
Vol 23
(4)
◽
pp. 279-283
Keyword(s):
LetS*Gbe a skew group ring of a finite groupGover a ringS. It is shown that ifS*Gis anG′-Galois extension of(S*G)G′, whereG′is the inner automorphism group ofS*Ginduced by the elements inG, thenSis aG-Galois extension ofSG. A necessary and sufficient condition is also given for the commutator subring of(S*G)G′inS*Gto be a Galois extension, where(S*G)G′is the subring of the elements fixed under each element inG′.
1996 ◽
Vol 16
(1)
◽
pp. 45-50
◽
1991 ◽
Vol 14
(1)
◽
pp. 149-153
Keyword(s):
1985 ◽
Vol 27
(4)
◽
pp. 381-391
◽
2015 ◽
Vol 22
(spec01)
◽
pp. 969-974
◽
2010 ◽
Vol 88
(3)
◽
pp. 363-383
2019 ◽
Vol 102
(1)
◽
pp. 91-95
1995 ◽
Vol 37
(2)
◽
pp. 249-263
◽
Keyword(s):
1978 ◽
Vol 1
(4)
◽
pp. 433-438
Keyword(s):