Free groups in quaternion algebras.

DOI10.1016/j.jalgebra.2012.12.025zbMath1327.16022arXiv0901.1977OpenAlexW2962819990MaRDI QIDQ376041

A. C. Souza Filho, Stanley Orlando Juriaans

Publication date: 1 November 2013

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

Full work available at URL: https://arxiv.org/abs/0901.1977

zbMATH Keywords

Möbius transformationsfree semigroupshyperbolic groupsgroup ringsgroups of unitsfree groupsgeneralized quaternion algebras

Mathematics Subject Classification ID

Group rings (16S34) Generators, relations, and presentations of groups (20F05) Units and factorization (11R27) Free semigroups, generators and relations, word problems (20M05) Free nonabelian groups (20E05) Finite-dimensional division rings (16K20) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Units, groups of units (associative rings and algebras) (16U60)

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