Zeta function of representations of compact $p$-adic analytic groups
نویسندگان
چکیده
منابع مشابه
ZETA FUNCTION OF REPRESENTATIONS OF COMPACT p-ADIC ANALYTIC GROUPS
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 property FAb (that is, H/[H,H] is finite fo...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2005
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-05-00501-1