Normal and subnormal subgroups in the group of units of group rings
1985 ◽
Vol 31
(3)
◽
pp. 355-363
◽
Keyword(s):
Let KG be the group ring of the group G over the infinite field K, and let U(KG) be its group of units. If G is torsion, we obtain necessary and sufficient conditions for a finite subgroup H of G to be either normal or subnormal in U(KG). Actually, if H is subnormal in U(KG), we can handle not only the case H finite, but the precise assumptions depend on the characteristic of K.
2012 ◽
Vol 19
(spec01)
◽
pp. 1041-1050
◽
2007 ◽
Vol 50
(1)
◽
pp. 37-47
◽
1995 ◽
Vol 59
(2)
◽
pp. 232-243
◽
2005 ◽
Vol 04
(02)
◽
pp. 127-137
◽
1980 ◽
Vol 32
(5)
◽
pp. 1266-1269
◽
1974 ◽
Vol 26
(1)
◽
pp. 121-129
◽
Keyword(s):