Transitive projective planes and insoluble groups

Nick Gill

Research output: Contribution to journalArticlepeer-review

73 Downloads (Pure)

Abstract

Suppose that a group $G$ acts transitively on the points of $\mathcal{P}$, a finite non-Desarguesian projective plane. We prove that if $G$ is insoluble then $G/O(G)$ is isomorphic to $SL_2(5)$ or $SL_2(5).2$.
Original languageEnglish
Pages (from-to)3017-3057
Number of pages41
JournalTransactions of the American Mathematical Society
Volume368
DOIs
Publication statusPublished - 6 Jan 2016

Keywords

  • math.GR
  • math.CO
  • 20B25, 51A35

Fingerprint

Dive into the research topics of 'Transitive projective planes and insoluble groups'. Together they form a unique fingerprint.

Cite this