Joy Morris

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math.GR2026

Bounded-orbit lattice representations of finite groups

JiaLi Du, Andrea Lucchini, Joy Morris +1

For a finite group $G$ , let $λ (G)$ denote the minimum number of orbits on the elements of a finite lattice $L$ with $Aut (L) ≅ G$ . Babai and Goodman conjectured th…

math.GR2026

On the base size of a finite group on its action on the lattice of subgroups

JiaLi Du, Joy Morris, Pablo Spiga

Given a finite group $R$ , we investigate the base size of the action of the automorphism group of $R$ on the lattice of subgroups of $R$ . Our main result shows that this base size…