More groups with paradoxical towers

Construct additional examples of groups with paradoxical towers.

Background

Groups with paradoxical towers yield dynamical comparison for amenable minimal actions and therefore provide broad classes of classifiable crossed products. The survey observes that the currently known examples form a limited collection and explicitly calls for more examples.

References

Problem 6.1.4. Find more examples of groups with paradoxical towers.

— Classifiability of crossed products  (2610.06586 - Gardella, 5 Oct 2026) in Problem 6.1.4, Section 6.1, p. 47

Question 6.1.5. Do all groups with paraodical towers have to contain F2?

— Classifiability of crossed products  (2610.06586 - Gardella, 5 Oct 2026) in Question 6.1.5, Section 6.1, p. 47