Dead ends and rationality of complete growth series

DOI10.1016/J.AIM.2024.109821zbMATH Open1548.20057MaRDI QIDQ6608720

Pierre Alderic Bagnoud, Corentin Bodart

Publication date: 20 September 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

nilpotent groupsHeisenberg groupsrational serieslamplightercomplete growth series

Mathematics Subject Classification ID

Geometric group theory (20F65) Nilpotent groups (20F18) Algebraic theory of languages and automata (68Q70)

Cites Work

• Title not available (Why is that?)
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• Infinite commensurable hyperbolic groups are bi-Lipschitz equivalent
• Fine asymptotic geometry in the Heisenberg group.
• On the definition of a family of automata
• THE UNBOUNDED DEAD-END DEPTH PROPERTY IS NOT A GROUP INVARIANT
• Growth Series of Some Wreath Products
• A characterization of poly-slender context-free languages
• Deep pockets in lattices and other groups
• Growth of Groups and Wreath Products
• Dead end words in lamplighter groups and other wreath products
• A Remark on Generalized Free Products
• The Isoperimetric Problem for Minkowski Area
• Dead ends on wreath products and lamplighter groups

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