11 citations · 11 across the 1 of their papers we have counts for
5 papers
Partial Word and Equality problems and Banach densities
Angela Carnevale, Matteo Cavaleri
We investigate partial Equality and Word Problems for finitely generated groups. After introducing Upper Banach (UB) density on free groups, we prove that solvability of the Equali…
Odd length in Weyl groups
Francesco Brenti, Angela Carnevale
We define a new statistic on any Weyl group which we call the odd length and which reduces, for Weyl groups of types , , and , the the statistics by the same name that hav…
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…
Proof of a conjecture of Klopsch-Voll on Weyl groups of type
Francesco Brenti, Angela Carnevale
We prove a conjecture of Klopsch-Voll on the signed generating function of a new statistic on the quotients of the symmetric groups. As a consequence of our results we also prove a…
Odd length for even hyperoctahedral groups and signed generating functions
Francesco Brenti, Angela Carnevale
We define a new statistic on the even hyperoctahedral groups which is a natural analogue of the odd length statistic recently defined and studied on Coxeter groups of types and…