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arxiv: 1407.7834 · v3 · pith:RPTBB22Wnew · submitted 2014-07-29 · 🧮 math.GR · math.GT

Virtual Geometricity is Rare

classification 🧮 math.GR math.GT
keywords multiwordcomputerdecaysexperimentsexponentiallyfactfreegeometric
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We present the results of computer experiments suggesting that the probability that a random multiword in a free group is virtually geometric decays to zero exponentially quickly in the length of the multiword. We then prove this fact.

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