D. McReynolds

collaborators

4 papers

math.GR2026

Subgroups with all finite lifts isomorphic are conjugate

Ido Karshon, Alexander Lubotzky, D. B. McReynolds +2

We show that for non-conjugate subgroups $G_{1}$ and $G_{2}$ of a finite group $G$ there exists an extension of $G$ (by a finite group) in which the pre-images of $G_{1}$ and $G_{2}$ are n…

math.DG2026

The natural flow and the critical exponent

Chris Connell, D. B. McReynolds, Shi Wang

Inspired by work of Besson-Courtois-Gallot, we construct a flow called the natural flow on a non-positively curved Riemannian manifold $M$ . As with the natural map, the $k$ -Jacobia…

math.GR2026

Diamonds: Homology and the Central Series of Groups

Milana Golich, D. B. McReynolds

We establish an analog of a theorem of Stallings which asserts the homomorphisms between the universal nilpotent quotients induced by a homomorphism $G \to H$ of groups are isomorp…

math.GT2025

Homological dimension of discrete subgroups in higher rank simple Lie groups

Chris Connell, D. B. McReynolds, Shi Wang

We investigate the homological dimensions of discrete subgroups of non-compact simple Lie groups using a flow recently introduced by the authors. Using new estimates on the critica…