Twisted Group Rings Whose Units Form an FC-Group

Mathematics – Rings and Algebras

Scientific paper

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18 pages

Scientific paper

Let U be the group of units of an infinite twisted group algebra K_\lambda G
over a field K. We describe the maximal FC-subgroup of U and give a
characterization of U with finitely conjugacy classes. In the case of group
algebras we obtain the Cliff-Sehgal-Zassenhaus' theorem.

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