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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Rendiconti del Circo...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Rendiconti del Circolo Matematico di Palermo (1952 -)
Article . 1983 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1983
Data sources: zbMATH Open
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A characterization of «likeable» translation planes

A characterization of ''likeable'' translation planes
Authors: Fink, J. B.; Johnson, N. L.; Wilke, F. W.;

A characterization of «likeable» translation planes

Abstract

A translation plane of order \(q^ 2\) is said to be 'likeable' when it has kern \(GF(q)\) and when its linear translation complement contains a group of order \(q^ 2\) whose elation subgroup consists of elements, which, when the plane is constructed from a spread in \(PG(3,q)\), fix a regulus. Such planes are studied in this paper, mostly in terms of \(4\times 4\) triangular matrices giving spreads, and are found, with exceptions, to belong either to a class of planes of odd order for which \(q\equiv -1(mod 6)\) previously studied by \textit{M. Walker} [''On translation planes and their collineation groups'', Thesis, Univ. London (1973)] or to a class of planes of even order for which \(q\equiv 2(\bmod 3)\) previously studied by \textit{D. Betten} [Geom. Deidcata 2, 327-339 (1973; Zbl 0272.50028)]. The proofreading for this paper was below standard. In particular the rows in the matrix in (2.3) have been transposed.

Related Organizations
Keywords

Kantor's construction, regulus, Translation planes and spreads in linear incidence geometry, Finite affine and projective planes (geometric aspects), spread, kern, collineation groups

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
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