6 papers · 1 filter
Weil zeta functions of group representations over finite fields
Ged Corob Cook, Steffen Kionke, Matteo Vannacci
In this article we define and study a zeta function - similar to the Hasse-Weil zeta function - which enumerates absolutely irreducible representations over finite fields of…
Counting irreducible modules for profinite groups
Ged Corob Cook, Steffen Kionke, Matteo Vannacci
This article is concerned with the representation growth of profinite groups over finite fields. We investigate the structure of groups with uniformly bounded exponential represent…
Probabilistic finiteness properties for profinite groups
Ged Corob Cook, Matteo Vannacci
We introduce various probablistic finiteness conditions for profinite groups related to positive finite generation (PFG). We investigate completed group rings which are PFG as modu…
On the asymptotic behaviour of the number of Beauville and non-Beauville -groups
Gustavo A. Fernández-Alcober, Şükran Gül, Matteo Vannacci
We find asymptotic lower bounds for the numbers of both Beauville and non-Beauville -generator finite -groups of a fixed order, which turn out to coincide with the best known…
On hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum
Yiftach Barnea, Matteo Vannacci
We prove that the inverse limit of certain iterated wreath products in product action have complete Hausdorff dimension spectrum with respect to their unique maximal filtration of…
On self-similar finite -groups
Azam Babai, Khadijeh Fathalikhani, Gustavo A. Fernandez-Alcober +1
In this paper, we address the following question: when is a finite -group self-similar, i.e. when can be faithfully represented as a self-similar group of automorphisms…