61 citations · 198 across the 22 of their papers we have counts for
9 papers · 1 filter
A family of class-2 nilpotent groups, their automorphisms and pro-isomorphic zeta functions
Mark N. Berman, Benjamin Klopsch, Uri Onn
The pro-isomorphic zeta function of a finitely generated nilpotent group is a Dirichlet generating function that enumerates finite-index subgroups whose profinite completion is…
On pro-isomorphic zeta functions of -groups of even Hirsch length
Mark N. Berman, Benjamin Klopsch, Uri Onn
The pro-isomorphic zeta function of a finitely generated nilpotent group is a Dirichlet generating series that enumerates all finite-index subgroups whose profinite completion is i…
Similarity classes of integral -adic matrices and representation zeta functions of groups of type
Nir Avni, Benjamin Klopsch, Uri Onn +1
We compute explicitly Dirichlet generating functions enumerating finite-dimensional irreducible complex representations of various -adic analytic and adelic profinite groups of…
Arithmetic groups, base change, and representation growth
Nir Avni, Benjamin Klopsch, Uri Onn +1
Consider an arithmetic group , where is an affine group scheme with connected, simply connected absolutely almost simple generic fiber, defined over t…
Representation zeta functions of some compact p-adic analytic groups
Nir Avni, Benjamin Klopsch, Uri Onn +1
Using the Kirillov orbit method, novel methods from p-adic integration and Clifford theory, we study representation zeta functions associated to compact p-adic analytic groups. In…
Representation zeta functions of compact p-adic analytic groups and arithmetic groups
Nir Avni, Benjamin Klopsch, Uri Onn +1
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups. They allow us t…