New zeta functions of Reidemeister type and twisted Burnside-Frobenius theory

Alexander Fel'shtyn, Evgenij Troitsky, Malwina Ziętek

We introduce new zeta functions related to an endomorphism $\varphi$ of a discrete group $\Gamma$. They are of two types: counting numbers of fixed ($\rho \sim \rho \circ {\varphi }^n$) irreducible representat…