Polynomial maps over $p$-adics and residual properties of mapping tori of group endomorphisms

Alexander Borisov, Mark Sapir

Published 2008-10-02Version 1

We continue our study of residual properties of mapping tori of free group endomorphisms. In this paper, we prove that each of these groups are virtually residually (finite $p$)-groups for all but finitely many primes$p$. The method involves further studies of polynomial maps over finite fields and $p$-adic completions of number fields.