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 $\ddot{I}•$ an integer \emph{payoff-difference lattice} $M_{\ddot{I}}•(G)$ and its \emph{conductor} $C_{\ddot{I}}•(G)$: the primes at which $M_…