We describe a condition involving noncommutative Alexander modules which ensures that a knot with a certain given Alexander module is topologically doubly slice. As an application, we obtain a sufficient condition for a satellite knot R_η(K) to be doubly slice.

This research was partially supported by the NSF grant DMS 2303674. Thanks go to Mark Powell for comments on a draft of this paper and to Lisa Piccirillo for heplful discussions. Finally, I am grateful to an anonymous referee for helpful comments and in particular for a suggestion that streamlined the proof of Theorem 3.8.