Free products of cyclic groups in groups of infinite unitriangular matrices

DOI10.30970/ms.60.1.28-33zbMath1526.20038OpenAlexW4387057910MaRDI QIDQ6059384

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Publication date: 2 November 2023

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.60.1.28-33

zbMATH Keywords

nilpotent matrixJordan blockfree productinfinite unitriangular matrix

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

• Affine automorphisms of rooted trees
• The pro-\(p\) group of upper unitriangular matrices
• FREE SUBGROUPS OF THE GROUP OF INFINITE UNITRIANGULAR MATRICES
• REPRESENTATIONS OF FREE PRODUCTS BY INFINITE UNITRIANGULAR MATRICES OVER FINITE FIELDS
• Free and Non-Free Subgroups of the Group UT(∞, ℤ)
• Amalgamated free product in terms of automata constructions
• Faithful Group Actions on Rooted Trees Induced by Actions of Quotients
• Unnamed Item

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