ZETA FUNCTION OF REPRESENTATIONS OF COMPACT p-ADIC ANALYTIC GROUPS

@inproceedings{JaikinZapirain2005ZETAFO,
  title={ZETA FUNCTION OF REPRESENTATIONS OF COMPACT p-ADIC ANALYTIC GROUPS},
  author={Andrei Jaikin-Zapirain},
  year={2005}
}
Let G be a profinite group. We denote by rn(G) the number of isomorphism classes of irreducible n-dimensional complex continuous representations of G (so that the kernel is open in G). Following [20], we call rn(G) the representation growth function of G. If G is a finitely generated profinite group, then rn(G) < ∞ for every n if and only if G has the… CONTINUE READING