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arxiv: 1608.02085 · v1 · pith:HJVG56OVnew · submitted 2016-08-06 · 🧮 math.GR · math.LO

An axiomatizable profinite group with infinitely many open subgroups of index 2

classification 🧮 math.GR math.LO
keywords groupdirectproductprofiniteaxiomatizabledihedralfirst-orderindex
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We show that a profinite group with the same first-order theory as the direct product over all odd primes $p$ of the dihedral group of order $2p$, is necessarily isomorphic to this direct product.

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