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Polynomial maps over \(p\)-adics and residual properties of mapping tori of group endomorphisms. (English) Zbl 1183.20031

The authors study residual properties of mapping tori of free group endomorphisms. They prove that each of these groups are virtually residually finite \(p\)-groups for all but finitely many primes \(p\).

MSC:

20E26 Residual properties and generalizations; residually finite groups
20E36 Automorphisms of infinite groups
20E05 Free nonabelian groups
14G15 Finite ground fields in algebraic geometry
20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
57M07 Topological methods in group theory
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