On a finite state representation of GL(n,Z)

DOI10.12958/adm2158arXiv2309.01241OpenAlexW4389631637MaRDI QIDQ6125964

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Publication date: 9 April 2024

Published in: Algebra and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.01241

zbMATH Keywords

free groupinteger matrixautomorphism of rooted treefinite state automorphism

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08)

Cites Work

• Finite state wreath powers of transformation semigroups.
• On the Burnside problem for periodic groups
• The ubiquity of free subgroups in certain inverse limits of groups
• Elementary expressions for unimodular matrices
• The Generation of GL(n, Z) by Finite State Automata
• On finite state automaton actions of HNN extensions of free abelian groups
• On exponentiation, p-automata and HNN extensions of free abelian groups
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