On a generalization of Kantor's likeable planes |
| |
Authors: | Mauro Biliotti Giampaolo Menichetti |
| |
Affiliation: | (1) Dipartimento di Matematica, Università di Lecce, Via Arnesano, 73100 Lecce, Italy;(2) Dipartimento di Matematica, Università di Bologna, Piazza di P. S. Donato 5, 40127 Bologna, Italy |
| |
Abstract: | Generalizing an idea of Kantor [7], Johnson and Wilke [5] introduced elusive sets of functions over GF(q) to represent translation planes of order q2 that admit a collineation group of order q2 in the linear translation complement and whose kern contains GF(q). In this paper we determine explicitly all elusive sets for q even. We obtain another translation plane of order 82.Deicated to Professors Adriano Barlotti and Luigi Antonio Rosati on the occasion of their 60th birthdayThis research was supported in part by a grant from the M.P.I. (40% funds). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|