Finite index and finite codimension

DOI10.1016/0022-4049(94)00120-8zbMath0842.20024OpenAlexW2013923794MaRDI QIDQ1903702

Shmuel Rosset

Publication date: 22 July 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00120-8

zbMATH Keywords

subgroups of finite indexfinitely generated subgroupsexistence of complementsfree algebrasfinitely generated free groupsfree group ringsHall complementsroots of idealsroots of subgroups

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free nonabelian groups (20E05)

Related Items (5)

ON RANK, ROOT AND EQUATIONS IN FREE GROUPS ⋮ Ascending chains of finitely generated subgroups ⋮ Subgroup properties of Demushkin groups ⋮ Subgroup properties of pro-\(p\) extensions of centralizers. ⋮ Free Amalgams of Rank Two

Cites Work

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• Ideals of finite codimension in free algebras and the \(fc\)-localization
• On equivalent sets of elements in a free group
• Free Amalgams of Rank Two
• Free Modules over Free Algebras and Free Group Algebras: The Schreier Technique
• Coset Representations in Free Groups

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