Generating hyperbolic isometry groups by elementary matrices

DOI10.1080/00927872.2023.2181738zbMath1526.20076OpenAlexW4322490111MaRDI QIDQ6157690

Arseniy Sheydvasser

Publication date: 22 June 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2023.2181738

zbMATH Keywords

ordersquaternion algebrashyperbolic geometryEuclidean algorithmelementary generation

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Euclidean rings and generalizations (13F07)

Cites Work

• Arithmétique des algèbres de quaternions
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• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• The Unreasonable Slightness of E₂ over Imaginary Quadratic Rings
• Bounded Elementary Generation of SL n (O)
• A Principal Ideal Domain That Is Not a Euclidean Domain
• The GE 2 Property for Discrete Subrings of C
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• Principal Ideal Domains are Almost Euclidean
• ℤ[ is Euclidean]
• A Corrigendum to Unreasonable Slightness
• EUCLIDEAN TOTALLY DEFINITE QUATERNION FIELDS OVER THE RATIONAL FIELD AND OVER QUADRATIC NUMBER FIELDS

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