61 citations · 146 across the 28 of their papers we have counts for
25 papers · 1 filter
Subgroup growth in free class--nilpotent groups
Viola Siconolfi, Marlies Vantomme, Christopher Voll
We describe an effective procedure to compute the local subgroup zeta functions of the free class--nilpotent groups on generators, for all . For , this yields a new,…
Hessian matrices, automorphisms of -groups, and torsion points of elliptic curves
Mima Stanojkovski, Christopher Voll
We describe the automorphism groups of finite -groups arising naturally via Hessian determinantal representations of elliptic curves defined over number fields. Moreover, we der…
Groups, graphs, and hypergraphs: average sizes of kernels of generic matrices with support constraints
Tobias Rossmann, Christopher Voll
We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent gro…
Enumerating traceless matrices over compact discrete valuation rings
Angela Carnevale, Shai Shechter, Christopher Voll
We enumerate traceless square matrices over finite quotients of compact discrete valuation rings by their image sizes. We express the associated rational generating functions in te…
Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces
Alexander Stasinski, Christopher Voll
We compute the representation zeta functions of some finitely generated nilpotent groups associated to unipotent group schemes over rings of integers in number fields. These group…
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…