The centre of a finite semifield plane is a geometric invariant
Copyright policy )The centre of a finite semifield plane is a geometric invariant
It is well known that the left, middle, and right nucleus, of a finite semifield are geometric invariants, that is, they do not change if the plane is recoordinatized by another semifield. On the other hand, the nucleus of the semified is in general not a geometric invariant. The authors now prove that the center (the subfield of central elements of the semifield) is a geometric invariant. The proof is not based on previous results about semifields obtained by the authors, because they feel that a self-contained spread-theoretic proof is more appropriate to their result.
- University of Iowa United States
- City of Glasgow College United Kingdom
center, Translation planes and spreads in linear incidence geometry, nucleus, Finite affine and projective planes (geometric aspects), spread, semifield, geometric invariants
center, Translation planes and spreads in linear incidence geometry, nucleus, Finite affine and projective planes (geometric aspects), spread, semifield, geometric invariants
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!