On the Conjugacy Classes in an Integral Group Ring
1978 ◽
Vol 21
(4)
◽
pp. 491-496
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Keyword(s):
Let G be a periodic group and ZG its integral group ring. The elements ±g(g∈G) are called the trivial units of ZG. In [1], S. D. Berman has shown that if G is finite, then every unit of finite order is trivial if and only if G is abelian or the direct product of a quaternion group of order 8 and an elementary abelin 2-group. By comparison, Losey in [7] has shown that if ZG contains one non-trivial unit of finite order, then it contains infinitely many.
1974 ◽
Vol 17
(1)
◽
pp. 129-130
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Keyword(s):
1998 ◽
Vol 50
(2)
◽
pp. 401-411
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Keyword(s):
2005 ◽
Vol 29
(2)
◽
pp. 363-387
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1972 ◽
Vol 15
(4)
◽
pp. 529-534
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Keyword(s):
2008 ◽
Vol 07
(03)
◽
pp. 393-403
◽
Keyword(s):
1972 ◽
Vol 24
(6)
◽
pp. 1137-1138
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Keyword(s):
1983 ◽
Vol 11
(14)
◽
pp. 1607-1627
◽
2002 ◽
Vol 46
(1)
◽
pp. 233-245
◽