𝔖 Bobbio Scriptorium
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Hyperbolic unit groups and quaternion algebras

✍ Scribed by S. O. Juriaans; I. B. S. Passi; A. C. Souza Filho


Book ID
107589300
Publisher
Indian Academy of Sciences
Year
2009
Tongue
English
Weight
178 KB
Volume
119
Category
Article
ISSN
0253-4142

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πŸ“œ SIMILAR VOLUMES


Free groups in quaternion algebras
✍ Juriaans, S.O.; Souza Filho, A.C. πŸ“‚ Article πŸ“… 2013 πŸ› Elsevier Science 🌐 English βš– 198 KB
Free Products of Units in Algebras I. Qu
✍ Jairo Z GonΓ§alves; Arnaldo Mandel; Mazi Shirvani πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 128 KB

Let A be a quaternion algebra over a commutative unital ring. We find sufficient conditions for pairs of units of A to generate a free group. Using the Ε½ . well-known isomorphism between SO 3, ‫ޒ‬ and the group of real quaternions of norm 1, we obtain free groups of rotations of the Euclidean 3-spac