#### Vol. 11, No. 1, 2010

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Generalized Clifford parallelisms

### Andrea Blunck, Stefano Pasotti and Silvia Pianta

Vol. 11 (2010), No. 1, 197–212
DOI: 10.2140/iig.2010.11.197
##### Abstract

We define generalized Clifford parallelisms in $PG\left(3,F\right)$ with the help of a quaternion skew field $H$ over a field $F$ of arbitrary characteristic. Moreover we give a geometric description of such parallelisms involving hyperbolic quadrics in projective spaces over suitable quadratic extensions of $F$.