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Corrales Rodrigáñez, Carmen
(2012)
*Rotations and units in quaternion algebras.*
Journal of Number Theory, 132
(5).
pp. 888-895.
ISSN ISSN 1096-1658

PDF
Restringido a Repository staff only 180kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0022314X12000078

## Abstract

Unit groups of orders in quaternion algebras over number fields provide important examples of non-commutative arithmetic groups. Let K = Q(d ) be a quadratic field with d < 0 a squarefree integer such that d ≡ 1(mod 8), and let R be its ring of integers. In this note we study, through its representation in SO3(R), the group of units of several orders in the quaternion algebra over K with basis {1, i, j,k} satisfying the relations i2 =j2 =−1, i j =−ji =k.

Item Type: | Article |
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Uncontrolled Keywords: | Quaternion algebras; Quadratic fields; Special orthogonal group of the space of pure quaternions in a quaternion algebra over a quadratic field |

Subjects: | Sciences > Mathematics > Number theory |

ID Code: | 20272 |

Deposited On: | 06 Mar 2013 14:39 |

Last Modified: | 04 Apr 2016 10:07 |

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