✦ LIBER ✦

Free groups in quaternion algebras

✍ Scribed by Juriaans, S.O.; Souza Filho, A.C.

Book ID: 118737093
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 198 KB
Volume: 379
Category: Article
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.12.025

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Algebras and quaternion defect groups. I

✍ Karin Erdmann 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 699 KB

Algebras and quaternion defect groups. I

Algebras and quaternion defect groups. II

✍ Karin Erdmann 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 905 KB

Hyperbolic unit groups and quaternion al

Hyperbolic unit groups and quaternion algebras

✍ S. O. Juriaans; I. B. S. Passi; A. C. Souza Filho 📂 Article 📅 2009 🏛 Indian Academy of Sciences 🌐 English ⚖ 178 KB

Free Products of Units in Algebras I. Qu

Free Products of Units in Algebras I. Quaternion Algebras

✍ 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

Higher dimensional cohomology groups in

Higher dimensional cohomology groups in generalized quaternion algebras

✍ Tadasi Nakayama 📂 Article 📅 1959 🏛 Vandenhoeck & Ruprecht 🌐 German ⚖ 305 KB

On quaternion-free 2-groups

✍ Bettina Wilkens 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 183 KB

Two theorems are proved, the first of them showing that a modular quaternion-free finite 2-group has a characteristic abelian subgroup with metacyclic factor, the second classifying nonmodular finite quaternion-free 2-groups.