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

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Elation switching in real parallelisms

### Esteban Diaz, Norman L. Johnson and Alessandro Montinaro

Vol. 11 (2010), No. 1, 115–137
##### Abstract

Switching techniques are developed that produce a variety of new parallelisms in $PG\left(3,K\right)$, where $K$ is a infinite field. When $K$ is the field of real numbers, ${2}^{{\chi }_{0}}\phantom{\rule{0.3em}{0ex}}\phantom{\rule{1em}{0ex}}$mutually non-isomorphic parallelisms are constructed.

##### Keywords
parallelisms, deficiency one, transitive groups
Primary: 51E23
Secondary: 51A40