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