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K2 of quaternion algebras

✍ Scribed by R.C Alperin; R.Keith Dennis

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
566 KB
Volume
56
Category
Article
ISSN
0021-8693

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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