Translation planes of order 27
Copyright policy )Translation planes of order 27
Up to isomorphism there are exactly seven, already known translation planes of order 27. The author shows this with the help of a computer and describes the seven types by invariants that play an important role in the computer search. Independently of the computer proof it is shown which of these types occur in the case that there is an elation in the translation complement \(H\) and in the case that \(H\) contains an element inducing a fixed-point- free involution on \(\ell_ \infty\). The proof is a simplified version of the general search.
Translation planes and spreads in linear incidence geometry, translation plane, spread, Combinatorial aspects of finite geometries, Software, source code, etc. for problems pertaining to combinatorics, Software, source code, etc. for problems pertaining to geometry
Translation planes and spreads in linear incidence geometry, translation plane, spread, Combinatorial aspects of finite geometries, Software, source code, etc. for problems pertaining to combinatorics, Software, source code, etc. for problems pertaining to geometry
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