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(3,K), where K is a infinite field. When K is the field of real numbers, 2χ0mutually non-isomorphic parallelisms are constructed.

Keywords
parallelisms, deficiency one, transitive groups
Mathematical Subject Classification 2010
Primary: 51E23
Secondary: 51A40
Milestones
Received: 18 March 2008
Accepted: 18 June 2008
Authors
Esteban Diaz
Norman L. Johnson
University of Iowa
IA
United States
Alessandro Montinaro