Most finitely generated subgroups of infinite unitriangular matrices are free

DOI10.1017/S0004972700040272zbMath1021.20037MaRDI QIDQ4806498

Waldemar Hołubowski

Publication date: 28 July 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

free subgroupsprofinite groupsNottingham groupinfinite matricesgroups of upper unitriangular matrices

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over fields (20H20) Limits, profinite groups (20E18)

Related Items (3)

Automorphisms of a free group of infinite rank ⋮ The pro-\(p\) group of upper unitriangular matrices ⋮ A new measure of growth for groups and algebras

Cites Work

• Subgroups of the Nottingham group
• The ubiquity of free subgroups in certain inverse limits of groups
• Almost all subgroups of a Lie group are free
• Most Finitely Generated Permutation Groups are Free
• Unnamed Item

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