Bounded Engel and solvable unitary units in group rings
2018
Abstract Let FG be the group ring of a group G over a field F . We consider the group of unitary units of FG with respect to the classical involution. Under suitable restrictions upon F , we show that if the unitary units of FG are both bounded Engel and solvable, then the entire unit group of FG is nilpotent. This extends a result of Fisher, Parmenter and Sehgal.
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