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Some translation planes constructed by multiple derivation
Published online by Cambridge University Press: 17 April 2009
Abstract
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It is noted that the translation planes of Rao and Rao may be constructed from a Desarguesian plane by the replacement of a set of disjoint derivable nets. Their plane of order 25 which admits a collineation group splitting the infinite points into orbits of lengths 18 and 8 may be obtained by replacing exactly three disjoint derivable nets and may be viewed as being derived from the Andre nearfield plane of order 25.
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- Copyright © Australian Mathematical Society 1981
References
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