Geodesic
On the Conjugacy Classes in an Integral Group Ring
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 491-496

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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. 
Williamson, Alan. On the Conjugacy Classes in an Integral Group Ring. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 491-496. doi: 10.4153/CMB-1978-083-8
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     title = {On the {Conjugacy} {Classes} in an {Integral} {Group} {Ring}},
     journal = {Canadian mathematical bulletin},
     pages = {491--496},
     year = {1978},
     volume = {21},
     number = {4},
     doi = {10.4153/CMB-1978-083-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-083-8/}
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