ON WREATH PRODUCT OF PERMUTATION GROUPS

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...

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Detalles Bibliográficos
Autores principales:	IBRAHIM,A. A, AUDU,M. S
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2007
Materias:	Centre Faithful Groups primitive Stabiliser Transitive Wreath product
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000100004
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spelling	oai:scielo:S0716-091720070001000042018-10-30ON WREATH PRODUCT OF PERMUTATION GROUPSIBRAHIM,A. AAUDU,M. S Centre Faithful Groups primitive Stabiliser Transitive Wreath product 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 findingsinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.26 n.1 20072007-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000100004en10.4067/S0716-09172007000100004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Centre Faithful Groups primitive Stabiliser Transitive Wreath product
spellingShingle	Centre Faithful Groups primitive Stabiliser Transitive Wreath product IBRAHIM,A. A AUDU,M. S ON WREATH PRODUCT OF PERMUTATION GROUPS
description	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
author	IBRAHIM,A. A AUDU,M. S
author_facet	IBRAHIM,A. A AUDU,M. S
author_sort	IBRAHIM,A. A
title	ON WREATH PRODUCT OF PERMUTATION GROUPS
title_short	ON WREATH PRODUCT OF PERMUTATION GROUPS
title_full	ON WREATH PRODUCT OF PERMUTATION GROUPS
title_fullStr	ON WREATH PRODUCT OF PERMUTATION GROUPS
title_full_unstemmed	ON WREATH PRODUCT OF PERMUTATION GROUPS
title_sort	on wreath product of permutation groups
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2007
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000100004
work_keys_str_mv	AT ibrahimaa onwreathproductofpermutationgroups AT audums onwreathproductofpermutationgroups
_version_	1718439751138148352

ON WREATH PRODUCT OF PERMUTATION GROUPS

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