Free group of infinite unitriangular matrices

DOI10.1007/BF02676674zbMath0957.20033OpenAlexW2035009548MaRDI QIDQ1585625

A. S. Olijnyk, V. I. Sushchans'kyi

Publication date: 16 November 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02676674

zbMATH Keywords

free subgroupsgroups of infinite unitriangular matricesfinite-automata transformations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Subgroup theorems; subgroup growth (20E07) Free nonabelian groups (20E05) Other matrix groups over fields (20H20)

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Self-similar groups, automatic sequences, and unitriangular representations ⋮ On a free group of transformations defined by an automaton. ⋮ The concept of duality for automata over a changing alphabet and generation of a free group by such automata ⋮ A new measure of growth for groups and algebras

Cites Work

• CR-varieties of the type \((1,2)\) as varieties of ``super-high codimension
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