arXiv Analytics

Sign in

arXiv:2404.17840 [math.GR]AbstractReferencesReviewsResources

A finitely presented group with transcendental spectral radius

Corentin Bodart

Published 2024-04-27Version 1

In this short note, we prove the existence of a finitely presented group with transcendental spectral radius. The proof relies on links between decidability of the Word Problem and semi-computability of the spectral radius.

Related articles: Most relevant | Search more
arXiv:1210.2101 [math.GR] (Published 2012-10-07)
Recognizing geometric 3-manifold groups using the word problem
arXiv:2003.10568 [math.GR] (Published 2020-03-23)
Free idempotent generated semigroups: The word problem and structure via gain graphs
arXiv:1103.1232 [math.GR] (Published 2011-03-07)
Efficient algorithms for highly compressed data: The Word Problem in Higman's group is in P