On normal subgroups of the group representation of the Cayley tree

DOI10.46698/L0184-0874-2706-YMaRDI QIDQ6497121

Farhod Halimjonovich Haydarov

Publication date: 6 May 2024

Published in: Vladikavkazskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

subgroups of finite indexhomomorphismCayley treeabelian group\(G_{k}\)-group

Mathematics Subject Classification ID

General theory for infinite permutation groups (20B07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

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• On the conjugacy problem for finite-state automorphisms of regular rooted trees. With an appendix by Raphaël M. Jungers
• A description of harmonic functions via properties of the group representation of the Cayley tree.
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• Four competing interactions for models with an uncountable set of spin values on a Cayley tree
• Invariance property on group representations of the Cayley tree and its applications
• Gibbs Measures on Cayley Trees
• Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree
• Free Bases for Normal Subgroups of Free Groups
• On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree

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