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

Yet Another Solution to the Burnside Problem for Matrix Semigroups

  Published:2011-03-07
 Printed: Mar 2012
  • Benjamin Steinberg,
    School of Mathematics and Statistics, Carleton University, Ottawa, ON K1S 5B6
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF  

Abstract

We use the kernel category to give a finiteness condition for semigroups. As a consequence we provide yet another proof that finitely generated periodic semigroups of matrices are finite.
Keywords: Burnside problem, kernel category Burnside problem, kernel category
MSC Classifications: 20M30, 20M32 show english descriptions Representation of semigroups; actions of semigroups on sets
Algebraic monoids
20M30 - Representation of semigroups; actions of semigroups on sets
20M32 - Algebraic monoids
 

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