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On Tarski's problem for virtually free groups

2019/10/18 by André, Simon
#FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.1910.08464

Abstract

We give a complete classification of finitely generated virtually free groups up to ∀∃-elementary equivalence. As a corollary, we give an algorithm that takes as input two finite presentations of virtually free groups, and decides whether these groups have the same ∀∃-theory or not.

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