July 2023 Some New CAT(0) Free-by-Cyclic Groups
Rylee Alanza Lyman
Michigan Math. J. 73(3): 621-630 (July 2023). DOI: 10.1307/mmj/20205989

Abstract

We show the existence of several new infinite families of polynomially-growing automorphisms of free groups whose mapping tori are CAT(0) free-by-cyclic groups. Such mapping tori are thick, and thus not relatively hyperbolic. These are the first families comprising infinitely many examples for each rank of the nonabelian free group; they contrast strongly with Gersten’s example of a thick free-by-cyclic group which cannot be a subgroup of a CAT(0) group.

Citation

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Rylee Alanza Lyman. "Some New CAT(0) Free-by-Cyclic Groups." Michigan Math. J. 73 (3) 621 - 630, July 2023. https://doi.org/10.1307/mmj/20205989

Information

Received: 23 September 2020; Revised: 5 October 2020; Published: July 2023
First available in Project Euclid: 12 May 2022

MathSciNet: MR4612166
zbMATH: 07720196
Digital Object Identifier: 10.1307/mmj/20205989

Subjects:
Primary: 20F65
Secondary: 20E05 , 20E08

Rights: Copyright © 2023 The University of Michigan

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Vol.73 • No. 3 • July 2023
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