FREE GROUPS OF QUATERNIONS

DOI10.1142/S0218196704001669zbMath1055.16034MaRDI QIDQ4464181

Flavio D'Alessandro

Publication date: 27 May 2004

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

zbMATH Keywords

free subgroupsfree groupsmultiplicative groups of skew-fieldsreal Hamilton quaternionssubgroups of rational quaternions

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)

Related Items (2)

Reachability problems in quaternion matrix and rotation semigroups ⋮ A NON-COMMUTATIVITY STATEMENT FOR ALGEBRAIC QUATERNIONS

Cites Work

• Unnamed Item
• 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 in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings

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