2 citations · 3 across the 14 of their papers we have counts for
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Representation growth of the Heisenberg group over
Duong Hoang Dung
We present a conjectured formula for the representation zeta function of the Heisenberg group over where is the ring of integers of some number…
Uniform analytic properties of representation zeta functions of finitely generated nilpotent groups
Duong Hoang Dung, Christopher Voll
Let be a finitely generated torsion-free nilpotent group. The representation zeta function of enumerates twist isoclasses of finite-dimensional irreducible complex…
Recognizing in the non-Frattini chief factors of finite groups
Duong Hoang Dung
Given a finite group , let be the probability that randomly chosen elements generate , and let be a finite group with . We show that if the no…
Finiteness of profinite groups with a rational probabilistic zeta function
Duong Hoang Dung
We prove that every profinite group in a certain class with a rational probabilistic zeta function has only finitely many maximal subgroups.
Rationality of the probabilistic zeta function of finitely generated profinite groups
Duong Hoang Dung, Andrea Lucchini
We discuss whether finiteness properties of a profinite group can be deduced from the probabilistic zeta function . In particular we prove that if is rational…