E 2 � SL 2 for Most Laurent Polynomial Rings

DOI10.2307/2374056zbMath0513.20038OpenAlexW2321006382MaRDI QIDQ3658196

Seymour Bachmuth, Horace Y. Mochizuki

Publication date: 1982

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374056

zbMATH Keywords

elementary matricesdiscrete valuation ringgenerating setLaurent polynomial ringsE2SL2

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other matrix groups over rings (20H25) Polynomials over commutative rings (13B25)

Related Items (11)

Linear groups over general rings. I: Generalities. ⋮ The swap conjecture of Tennant and Turner ⋮ Finitely generated GE_n-rings ⋮ A THEOREM ON MATRIX GROUPS ⋮ ON THE STABILIZER OF A COLUMN IN A MATRIX GROUP OVER A POLYNOMIAL RING ⋮ Automorphisms of groups ⋮ NON-TAME AUTOMORPHISMS OF A FREE GROUP OF RANK 3 IN ⋮ Primitive elements and automorphisms of the free metabelian group of rank 3 ⋮ Primitive elements in the free metabelian group of rank \(3\) ⋮ Can automorphism groups ever be infinitely generated in more than a finite number of dimensions? ⋮ The genus 2 Torelli group is not finitely generated

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