Translation complements of C-planes: (IV)
Copyright policy )Translation complements of C-planes: (IV)
Narayana Rao, Rodabaugh, Wilke and Zemmer constructed a new class of finite translation planes from exceptional near-fields described by Dickson and Zassenhaus. These planes referred to as C-planes are not coordinatized by the generalized André systems. In this paper we compute the translation complement of the C-plane corresponding to the C-system III–1. It is found that the translation complement is of order 6912 and it divides the set of ideal points into two orbits of lengths 2 and 48.
- Osmania University India
- The Open University United Kingdom
- University College of Medical Sciences India
collineations, Near-fields, nucleus, Finite automorphism groups of algebraic, geometric, or combinatorial structures, collineation group, nearfields, orbit structure of ideal points, Translation planes and spreads in linear incidence geometry, Combinatorial aspects of finite geometries, translation complement, translation planes
collineations, Near-fields, nucleus, Finite automorphism groups of algebraic, geometric, or combinatorial structures, collineation group, nearfields, orbit structure of ideal points, Translation planes and spreads in linear incidence geometry, Combinatorial aspects of finite geometries, translation complement, translation planes
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).0 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.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!