The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces.With the appendix by Khalid Bou–Rabee
2017 ◽
Vol 166
(1)
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pp. 83-121
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AbstractMotivated by the results of Scott and Patel about “untangling” closed geodesics in finite covers of hyperbolic surfaces, we introduce and study primitivity, simplicity and non-filling index functions for finitely generated free groups. We obtain lower bounds for these functions and relate these free group results back to the setting of hyperbolic surfaces. An appendix by Khalid Bou–Rabee connects the primitivity index functionfprim(n,FN) to the residual finiteness growth function forFN.
2001 ◽
Vol 11
(01)
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pp. 73-88
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1992 ◽
Vol 53
(3)
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pp. 408-420
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1989 ◽
Vol 64
(2)
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pp. 495-504
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2011 ◽
Vol 21
(04)
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pp. 595-614
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1992 ◽
Vol 35
(3)
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pp. 390-399
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1971 ◽
Vol 36
(1)
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pp. 99-101
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