Transitive projective planes and 2-rank

2007/11/28 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.0711.4459

29 pages. This version is significantly expanded (9 extra pages). Proofs which were formerly omitted or only sketched are now given in detail. In addition the exposition is (hopefully) much more readable

openalex publication_date 2007/11/28 · arxiv created 2008/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Suppose that a group G acts transitively on the points of a non-Desarguesian plane, P. We prove first that the Sylow 2-subgroups of G are cyclic or generalized quaternion. We also prove that P must admit an odd order automorphism group which acts transitively on the set of points of P.

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