Vol. 15, No. 1, 2017

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$\alpha$-Flokki and Partial $\alpha$-Flokki

William Cherowitzo, Norman L. Johnson and Oscar Vega

Vol. 15 (2017), No. 1, 5–29
Abstract

Connections are made between deficiency one α-flokki and Baer groups of associated α-flokki translation planes, extending the theory of Johnson and Payne–Thas. The full collineation group of an α-flokki is completely determined. Many of the ideas are extended to the infinite case.

Keywords
$\alpha$-flokki, Baer subgroup, translation plane
Mathematical Subject Classification 2010
Primary: 05B25, 51A40, 51E20
Milestones
Received: 16 November 2014
Accepted: 11 February 2015
Authors
William Cherowitzo
University of Colorado at Denver
CO
United States
Norman L. Johnson
University of Iowa
IA
United States
Oscar Vega
Department of Mathematics
California State University, Fresno
Peters Business Building
5245 North Backer Avenue M/S PB108
Fresno, CA 93740-8001
United States