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Preprint Number 1080

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1080. Or Ben Porath, Mark Shusterman
An axiomatizable profinite group with infinitely many open subgroups of index 2

Submission date: 6 August 2016


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.

Mathematics Subject Classification: 20E18, 12E30, 03B10, 03C68

Keywords and phrases:

Full text arXiv 1608.02085: pdf, ps.

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