Translation planes of dimension two and characteristic two

This article discusses translation planes of dimension two and characteristic two. Let G be a subgroup of the linear translation complement of such a plane π. The nature of G and its possible action on π are investigated. This continues previous work of the authors. It is shown that no new groups oc...

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Main Authors: N. L. Johnson, T. G. Ostrom
Format: Article
Language:English
Published: Wiley 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171283000022
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author N. L. Johnson
T. G. Ostrom
author_facet N. L. Johnson
T. G. Ostrom
author_sort N. L. Johnson
collection DOAJ
description This article discusses translation planes of dimension two and characteristic two. Let G be a subgroup of the linear translation complement of such a plane π. The nature of G and its possible action on π are investigated. This continues previous work of the authors. It is shown that no new groups occur.
format Article
id doaj-art-45fa76ba2d284de3962b99e3de19319e
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1983-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-45fa76ba2d284de3962b99e3de19319e2025-02-03T05:49:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-0161415810.1155/S0161171283000022Translation planes of dimension two and characteristic twoN. L. Johnson0T. G. Ostrom1Department of Mathematics, University of Iowa, Iowa City 52242, Iowa, USADepartment of Pure and Applied Mathematics, Washington State University, Pullman 99164, Washington, USAThis article discusses translation planes of dimension two and characteristic two. Let G be a subgroup of the linear translation complement of such a plane π. The nature of G and its possible action on π are investigated. This continues previous work of the authors. It is shown that no new groups occur.http://dx.doi.org/10.1155/S0161171283000022translation planeslinear translation complementdimension two and characteristic two.
spellingShingle N. L. Johnson
T. G. Ostrom
Translation planes of dimension two and characteristic two
International Journal of Mathematics and Mathematical Sciences
translation planes
linear translation complement
dimension two and characteristic two.
title Translation planes of dimension two and characteristic two
title_full Translation planes of dimension two and characteristic two
title_fullStr Translation planes of dimension two and characteristic two
title_full_unstemmed Translation planes of dimension two and characteristic two
title_short Translation planes of dimension two and characteristic two
title_sort translation planes of dimension two and characteristic two
topic translation planes
linear translation complement
dimension two and characteristic two.
url http://dx.doi.org/10.1155/S0161171283000022
work_keys_str_mv AT nljohnson translationplanesofdimensiontwoandcharacteristictwo
AT tgostrom translationplanesofdimensiontwoandcharacteristictwo