A New Cover of the 3-Local Geometry of Co1

A. A. Ivanov*, S. Shpectorov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The 3-local geometry script g sign̄ = script g sign(Co1) of the sporadic simple group Co1 has been known to have a cover script g sign̂ = script g sign(224 · Co1) with a flag-transitive automorphism group which is a nonsplit extension of an elementary Abelian 2-group of rank 24 (the Leech lattice modulo 2) by Co1. It was conjectured that script g sign̂ was simply connected. We disprove this conjecture by constructing a double cover script g sign of script g sign̂. The automorphism group of script g sign is of the shape 21+24+ · Co1. However, it is not isomorphic to the involution centralizer of the Monster sporadic simple group.

Original languageEnglish
Pages (from-to)237-244
Number of pages8
JournalGeometriae Dedicata
Volume73
Issue number3
DOIs
Publication statusPublished - 1998

Keywords

  • Conway group
  • Diagram geometries
  • Sporadic groups

ASJC Scopus subject areas

  • Geometry and Topology

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