2006/06/10 by Nick Gill, Gill, Nick
Computer Science · Engineering · Mathematics · #20B25 #51A35 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #math.CO #math.GR #msc:20B25 #msc:51A35
paper · pdf · doi:10.48550/arxiv.math/0606247
6 pages
arxiv created 2006/06/10 · openalex publication_date 2006/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let N be a nilpotent group normal in a group G. Suppose that G acts transitively upon the points of a finite non-Desarguesian projective plane P. We prove that, if P has square order, then N must act semi-regularly on P. In addition we prove that if a finite non-Desarguesian projective plane P admits more than one nilpotent group which is regular on the points of P then P has non-square order and the automorphism group of P has odd order.