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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
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 . We…
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…
math.GR2025
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 t…