Twisted Group Rings Whose Units Form an FC-Group
classification
🧮 math.RA
math.GR
keywords
grouptwistedunitsalgebraalgebrascasecharacterizationclasses
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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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