On free subgroups of units in quaternion algebras

DOI10.4064/CM88-1-3zbMATH Open0974.16025OpenAlexW1970449243MaRDI QIDQ2717702

Jan Krempa

Publication date: 17 June 2001

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm88-1-3

zbMATH Keywords

groups of unitsfree groupsTits alternativeCayley algebrasquaternion rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Infinite-dimensional and general division rings (16K40) Free nonabelian groups (20E05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Units, groups of units (associative rings and algebras) (16U60) Alternative rings (17D05) Nonassociative division algebras (17A35)

Related Items (4)

On the group of units of a QWitt ring. ⋮ Free products of units in algebras. I: Quaternion algebras ⋮ Intermediate subgroups in the unitary group over the skew field of quaternions ⋮ Free quotients of congruence subgroups of the Serre groups and unipotent matrices

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