27 citations · 145 across the 30 of their papers we have counts for
11 papers · 1 filter
Subgroups with all finite lifts isomorphic are conjugate
Ido Karshon, Alexander Lubotzky, D. B. McReynolds +2
We show that for non-conjugate subgroups and of a finite group there exists an extension of (by a finite group) in which the pre-images of and are n…
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 of groups are isomorp…
Zariski Closures and Subgroup Separability
Larsen Louder, D. B. McReynolds, Priyam Patel
The main result of this article is a refinement of the well-known subgroup separability results of Hall and Scott for free and surface groups. We show that for any finitely generat…
Locally Equivalent Correspondences
Benjamin Linowitz, D. B. McReynolds, Nicholas Miller
Given a pair of number fields with isomorphic rings of adeles, we construct bijections between objects associated to the pair. For instance we construct an isomorphism of Brauer gr…
Decision problems, complexity, traces, and representations
Sean Lawton, Larsen Louder, D. B. McReynolds
In this article, we study connections between representation theory and efficient solutions to the conjugacy problem on finitely generated groups. The main focus is on the conjugac…
Extremal behavior of divisibility functions
Khalid Bou-Rabee, D. B. McReynolds
In this short article, we study the extremal behavior of divisibility functions introduced by the first author for finitely generated groups . We show finitely ge…