REPRESENTATIONS OF FREE PRODUCTS BY INFINITE UNITRIANGULAR MATRICES OVER FINITE FIELDS

DOI10.1142/S0218196704001931zbMath1088.20011OpenAlexW2025516218MaRDI QIDQ4658709

Andrij Olijnyk, V. I. Sushchans'kyi

Publication date: 18 March 2005

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196704001931

zbMATH Keywords

free productsfree subgroupsunitriangular matricesping-pong lemmafinite state automorphisms

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Other matrix groups over fields (20H20) Limits, profinite groups (20E18)

Related Items (8)

Growth rate of cluster algebras ⋮ Free products of cyclic groups in groups of infinite unitriangular matrices ⋮ The lamplighter group of rank two generated by a bireversible automaton ⋮ Faithful group actions and Schreier graphs ⋮ Invariable generation of Thompson groups ⋮ Free and Non-Free Subgroups of the Group UT(∞, ℤ) ⋮ A new measure of growth for groups and algebras ⋮ Infinitely many Lagrangian fillings

Cites Work

• The Generation of GL(n, Z) by Finite State Automata

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