Twisted Group Rings Whose Units Form an FC-Group
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AbstractLet U(KλG) be the group of units of the infinite twisted group algebra KλG over a field K. We describe the FC-centre ΔU of U(KλG) and give a characterization of the groups G and fields K for which U(KλG) = ΔU. In the case of group algebras we obtain the Cliff-Sehgal-Zassenhaus theorem.
1972 ◽
Vol 18
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pp. 149-158
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1964 ◽
Vol 4
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pp. 152-173
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2001 ◽
Vol 29
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pp. 2231-2238
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1992 ◽
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pp. 503-506
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2016 ◽
Vol 15
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pp. 1650150
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1997 ◽
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pp. 47-53
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1998 ◽
Vol 08
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pp. 467-477
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2013 ◽
Vol 12
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pp. 1350004
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