Corps minimaux contenant l’algebre du groupe libre a deux generateurs

DOI10.1080/00927879508825230zbMATH Open0822.16014OpenAlexW2088064347MaRDI QIDQ4324210

Gérard Cauchon

Publication date: 26 February 1995

Published in: (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879508825230

zbMATH Keywords

skew polynomial ringsfield of rational functionsdivision ring of fractionsgroup algebras of free groupsautomorphisms of rational function fieldsfree \(k\)-subalgebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Infinite-dimensional and general division rings (16K40)

Cites Work

• On subalgebras of the first Weyl skewfield

Related Items (9)

Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras ⋮ FREE GROUP ALGEBRAS IN DIVISION RINGS ⋮ Almost subnormal subgroups in division rings with generalized algebraic rational identities ⋮ Obtaining free group algebras in division rings generated by group graded rings ⋮ Free group algebras in division rings with valuation I ⋮ On orbits of fractional linear transformations ⋮ Free Group Algebras in Division Rings with Valuation II ⋮ Free Structures in Division Rings ⋮ A Note on Free Groups in the Ring of Fractions of Skew Polynomial Rings

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