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On Translation Planes with Affine Central Collineations, II

Published online by Cambridge University Press:  20 November 2018

Norman L. Johnson  and
Michael J. Kallaher
Norman L. Johnson
Affiliation:
University of Iowa, Iowa City, Iowa
Michael J. Kallaher
Affiliation:
University of Iowa, Iowa City, Iowa
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This article, as the name implies, is a continuation of [9]. In that article the second author investigates finite translation planes containing both affine dations and affine homologies. (See the beginning of Section 2 for definitions.) Such translation planes are called Ei7-planes. In [9] the author restricted himself to translation planes of characteristic p ≧ 5. The main reasons for this were that Ostrom's and Hering's theorem [13;4] on affine dations excluded the case p = 3 and the conclusions were easier to interpret geometrically when p ≧ 5 (as opposed to the case p = 2). Since then Ostrom [17] has settled the case p = 3.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 1 , 01 February 1976 , pp. 116 - 129
Copyright
Copyright © Canadian Mathematical Society 1976

References

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