collaborators

6 papers

math.GR2026

Linearity criteria for automorphism groups of malabelian groups

Thomas Koberda, Mark Pengitore

Let be a finitely generated malabelian group, let be a finitely generated subgroup, and let denote the preimage of in . W…

math.GR2026

Rational cohomology and Zariski dense subgroups of solvable linear algebraic groups

Milana Golich, Antonio López Neumann, Mark Pengitore

In this article, we establish results concerning the cohomology of Zariski dense subgroups of solvable linear algebraic groups. We show that for an irreducible solvable $\mathbb{Q}…

math.GR2026

Automorphism groups of solvable groups of finite abelian ranks

Jonas Deré, Mark Pengitore

This paper gives a new explicit construction of the -algebraic hull for virtually solvable groups of finite abelian ranks, taking into account the spectrum of…

math.GR2025

-Hereditarily conjugacy separable groups and wreath products

Alexander Bishop, Michal Ferov, Mark Pengitore

We provide a necessary and sufficient condition for the restricted wreath product to be -hereditarily conjugacy separable where is an extension-…

math.GR2025

On Wiegold's conjecture for the small Ree groups

Sira Busch, Mark Pengitore, Jeroen Schillewaert +1

The Wiegold conjecture holds for the small Ree groups for -tuples where .

math.GR2025

"The Edmonton Notes on Nilpotent Groups" by Philip Hall

Mark Pengitore

This note is a reproduction of the well known and historically significant series of notes called "The Edmonton Notes on Nilpotent Groups" based on lectures given by Philip Hall us…