Game Conductors of Finite Groups: Determinantal Torsion from Structured Payoff Probes

Matthew Fried

We attach to a finite group $G$ and a structured payoff probe $\varphi$ an integer \emph{payoff-difference lattice} $M_{\varphi }(G)$ and its \emph{conductor} $C_{\varphi }(G)$: the primes at which $M_ϕ(G…