A NON-COMMUTATIVITY STATEMENT FOR ALGEBRAIC QUATERNIONS

DOI10.1142/S0218196706003098zbMath1102.16021MaRDI QIDQ5483457

Flavio D'Alessandro, Alessandro D'Andrea

Publication date: 14 August 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

free subgroupsalgebraic number fields\(2\)-good pairs of quaternionsgroups of quaternionsTits alternative, constructive version

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Free nonabelian groups (20E05) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60) Skew fields, division rings (12E15)

Cites Work

• Unnamed Item
• Free products of units in algebras. I: Quaternion algebras
• A class of free rotation groups
• Free subgroups in linear groups
• Orthogonal Isomorphic Representations Of Free Groups
• On Free Products of Cyclic Rotation Groups
• FREE GROUPS OF QUATERNIONS

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