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arXiv:1304.5320 [math.GR]AbstractReferencesReviewsResources

Growth in product replacement graphs

Anton Malyshev, Igor Pak

Published 2013-04-19, updated 2014-08-01Version 2

We prove the exponential growth of product replacement graphs for a large class of groups. Much of our effort is dedicated to the study of product replacement graphs of Grigorchuk groups, where the problem is most difficult.

Comments: 16 pages; revised version, accepted to Journal of Group Theory
Categories: math.GR, math.CO
Subjects: 20F65
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