Co-Hopfian virtually free groups and elementary equivalence

2021/12/08 by André, Simon
#03C68 #20E06 #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.2112.04072

Abstract

We prove that two co-Hopfian finitely generated virtually free groups are elementarily equivalent if and only if they are isomorphic. We also prove that co-Hopfian finitely generated virtually free groups are homogeneous in the sense of model theory.

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