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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 Archiv der Mathemati...arrow_drop_down
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Archiv der Mathematik
Article . 1988 . Peer-reviewed
License: Springer TDM
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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
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Correction to ?Two-groups on finite translation planes?

Correction to ``Two-groups on finite translation planes''
Authors: Ostrom, T. G.;

Correction to ?Two-groups on finite translation planes?

Abstract

Let \(\pi\) be a translation plane of order \(q^ d\), with kernel GF(q). The paper being corrected [Arch. Math. 47, 568-572 (1986; Zbl 0588.51003)] was an attempt to improve on earlier results to the effect that if the translation complement contains an elementary Abelian group of order \(2^ c\), then \(2^{c-2}\) divides d. Our proof was based on some tacit unjustified assumptions and hence is incorrect. The following now appears to be a fundamental question for the theory of finite translation planes: ``Is there a translation plane of order \(q^ 4\), where q is prime to two and three such that the translation complement contains a quaternion group of order q whose fixed point subspace is a subplane of order q?''

Related Organizations
Keywords

Translation planes and spreads in linear incidence geometry, Finite automorphism groups of algebraic, geometric, or combinatorial structures, translation plane, Finite affine and projective planes (geometric aspects), translation complement, 2-group

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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!
1
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