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Rotations and units in quaternion algebras

✍ Scribed by Capi Corrales-Rodrigáñez


Book ID
113731120
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
176 KB
Volume
132
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES


Free Products of Units in Algebras I. Qu
✍ Jairo Z Gonçalves; Arnaldo Mandel; Mazi Shirvani 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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 Ž . 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