CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

A Characterization of $ PSU_{11}(q)$

  Published:2004-12-01
 Printed: Dec 2004
  • A. Iranmanesh
  • B. Khosravi
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Order components of a finite simple group were introduced in [4]. It was proved that some non-abelian simple groups are uniquely determined by their order components. As the main result of this paper, we show that groups $PSU_{11}(q)$ are also uniquely determined by their order components. As corollaries of this result, the validity of a conjecture of J. G. Thompson and a conjecture of W. Shi and J. Bi both on $PSU_{11}(q)$ are obtained.
Keywords: Prime graph, order component, finite group, simple group Prime graph, order component, finite group, simple group
MSC Classifications: 20D08, 20D05, 20D60 show english descriptions Simple groups: sporadic groups
Finite simple groups and their classification
Arithmetic and combinatorial problems
20D08 - Simple groups: sporadic groups
20D05 - Finite simple groups and their classification
20D60 - Arithmetic and combinatorial problems
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/