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Group Rings with Only Trivial Units of Finite Order
Published online by Cambridge University Press: 20 November 2018
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We denote by ZG the integral group ring of the finite group G. S.D. Berman [1] showed that every unit of finite order μ in G is trivial (i.e., μ = ±g for some g in G) if and only if either G is abelian or G is a Hamiltonian 2-group. In this note, we give a new and shorter proof for the “only if” part.
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- Copyright © Canadian Mathematical Society 1972
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