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A note on central idempotents in group rings

1987
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Proceedings of the Edinburgh Mathematical Society
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Let G be a group and K a field. We denote by <2l(KG) the group of units of the group ring of G over K and for a group X we denote by T(X) the set of torsion elements of G, i.e., the set of all elements of finite order. In the study of group-theoretical properties of 'ft(KG) it has been found that some conditions on this group lead to the fact that T= T(G) is a group and every idempotent in KT is central in KG. For example, if K is a field of characteristic p>0, this will happen when G is

doi:10.1017/s0013091500017971
fatcat:bnuv7oy5ijcirj4qrvabhtxr3a