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math.GR2015
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…
math.GR2015
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…
math.GR2015
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…