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

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

2008-10-02

arxiv.org/abs/0810.0443v1

Mathematics

Group Theory

11 pages, version 1: Comments are welcome

Scientific paper

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.

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