On Nuclei and Duals of Semifields of Order q 4, q is a Power of 2

摘要

The aim of this article is to investigate the nuclei of a semifield A of order q 4, q is a power of 2, admitting a four-group E of automorphisms isomorphic to Z ₂ × Z ₂ acting freely on A and having GF(q 2) in its left nucleus. We also study the dual semifield A* of A and show that A and A* are isomorphic.View full textDownload full textRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802107975