Robustness across group families

Determine the EKR robustness of broader families of groups, including nilpotent groups, solvable groups, and other specified group classes.

Background

The paper develops robustness results for selected permutation-group families but does not provide a general classification. This question asks whether systematic results can be obtained for standard algebraic classes of groups.

References

Question 7.7. Can anything be determined about the EKR robustness of different families of groups, like nilpotent groups, solvable groups, or other specific families of groups?

— A new measure of robustness of Erdős--Ko--Rado Theorems on permutation groups  (2502.14582 - Gunderson et al., 20 Feb 2025) in Question 7.7, Section 7