Abstract
The aim of the paper is to provide a large extension of the recent results of de Giovanni and Ialenti (Commun Algebra 44:118–124, 2016), strengthening at the same time their conclusions. Our second main theorem is actually a complete generalization of a result obtained in the finite case by Beidleman and Heineken (Arch Math (Basel) 85:18–30, 2005) to periodic linear groups.
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