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Virtual geometricity is rare

Published online by Cambridge University Press:  01 July 2015

Christopher H. Cashen
Affiliation:
Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria email [email protected]
Jason F. Manning
Affiliation:
Department of Mathematics, 310 Malott Hall, Cornell University, Ithaca, NY 14853, USA email [email protected]

Abstract

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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 also prove this fact.

Type
Research Article
Copyright
© The Author(s) 2015 

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