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Abstract
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We give upper bounds, linear in the rank, to the topological dimensions of the
Gromov boundaries of the intersection graph, the free factor graph and the cyclic
splitting graph of a finitely generated free group.
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Keywords
free factor graph, free factor complex, boundary,
topological dimension, automorphism, free group
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Mathematical Subject Classification 2010
Primary: 20F28, 20F65
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Milestones
Received: 12 February 2019
Revised: 20 December 2019
Accepted: 7 May 2020
Published: 3 December 2020
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