On wreath product of permutation groups

• A., Ibrahim A. ^[1] ; Audu, M. S. ^[2]
  1. [1] Usmanu Danfodiyo University Teaching Hospital, Sokoto

     Usmanu Danfodiyo University Teaching Hospital, Sokoto

     Sarkin Musulmi B, Nigeria

     
  2. [2] University of Jos

     University of Jos

     Nigeria

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 26, Nº. 1, 2007, págs. 73-90
• Idioma: inglés
• DOI: 10.4067/S0716-09172007000100004
• Enlaces
  • Texto completo
• Resumen

  • This report is essentially an upgrade of the results of Audu (see [1] and [2]) on some finite permutation groups. It consists of the basic procedure for computing wreath product of groups. We also discussed the conditions under which the wreath products of permutation groups are faithful, transitive and primitive. Further, the centre of the stabilizer and the centre of wreath products was investigated and finally, an illustration was supplied to support our findings.

• Referencias bibliográficas
  • Citas [1] Audu M. S. On Transitive Permutation Groups. Africa Mathematika, Journal of African Mathematical Union. Vol. 4 (2) : pp.155 −...
  • [2] Audu M. S. Wreath Product of Permutation Groups. A Research Oriented Course In Arithmetics of Elliptic Curves, Groups and Loops, Lecture...
  • [3] Praeger C. E. and Scheider C. Ordered Triple Designs And Wreath Product of Groups technical report supported by an Australian Research...
  • [4] Dinneen M. J. Faver V. and Fellows M. R. Algebraic constructions of effi- cient broadcast networks, Applied Algebra, Algebraic Algorithms...