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Automorphism-invariant positive definite functions on free groups

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arxiv 1906.01518 v1 pith:352OQT6R submitted 2019-06-04 math.OA math.GRmath.GT

Benoît Collins , Michael Magee , Doron Puder This is my paper · ORCID
classification math.OAmath.GRmath.GT
keywords articledefinitefreefunctionsgroupspositivequestionssome
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In this article we raise some new questions about positive definite functions on free groups, and explain how these are related to more well-known questions. The article is intended as a survey of known results that also offers some new perspectives and interesting observations; therefore the style is expository.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Some Orbits of Free Words that are Determined by Measures on Finite Groups

    math.GR 2019-08 accept novelty 6.0 of 10

    The words x^d and [x,y]^d are rigid: any word inducing the same measures on all finite groups is an automorphic image of them.

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