INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS
2011 ◽
Vol 10
(04)
◽
pp. 711-725
◽
Keyword(s):
Let ℤG be the integral group ring of the finite nonabelian group G over the ring of integers ℤ, and let * be an involution of ℤG that extends one of G. If x and y are elements of G, we investigate when pairs of the form (uk, m(x), uk, m(x*)) or (uk, m(x), uk, m(y)), formed respectively by Bass cyclic and *-symmetric Bass cyclic units, generate a free noncyclic subgroup of the unit group of ℤG.
Keyword(s):
2017 ◽
Vol 27
(06)
◽
pp. 619-631
◽
Keyword(s):
1990 ◽
Vol 42
(3)
◽
pp. 383-394
◽
1993 ◽
Vol 35
(3)
◽
pp. 367-379
◽
Keyword(s):
Keyword(s):
Keyword(s):
2000 ◽
Vol 43
(1)
◽
pp. 60-62
◽
Keyword(s):
1994 ◽
Vol 122
(1)
◽
pp. 59-59
◽
2012 ◽
Vol 11
(01)
◽
pp. 1250016
◽
Keyword(s):