On certain isotopic maps of central loops
It is shown that the Holomorph of a C-loop is a C-loop if each element of the automorphism group of the loops is left nuclear. Condition under which an element of the Bryant-Schneider group of a C-loop will form an automorphism is established. It is proved that elements of the Bryant-Schneider group...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2011
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oai:scielo:S0716-091720110003000032012-06-18On certain isotopic maps of central loopsOlusola Adeniran,JohnTunde Oyebo,YacubMohammed,Daabo Central loop isotopism autotopism Bryant-Schneider group It is shown that the Holomorph of a C-loop is a C-loop if each element of the automorphism group of the loops is left nuclear. Condition under which an element of the Bryant-Schneider group of a C-loop will form an automorphism is established. It is proved that elements of the Bryant-Schneider group of a C-loop can be expressed a product ofpseudo-automorphisms and right translations ofelements of the nucleus of the loop. The Bryant-Schneider group of a C-loop is also shown to be a kind of generalized holomorph of the loop.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.3 20112011-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300003en10.4067/S0716-09172011000300003 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Central loop isotopism autotopism Bryant-Schneider group |
| spellingShingle |
Central loop isotopism autotopism Bryant-Schneider group Olusola Adeniran,John Tunde Oyebo,Yacub Mohammed,Daabo On certain isotopic maps of central loops |
| description |
It is shown that the Holomorph of a C-loop is a C-loop if each element of the automorphism group of the loops is left nuclear. Condition under which an element of the Bryant-Schneider group of a C-loop will form an automorphism is established. It is proved that elements of the Bryant-Schneider group of a C-loop can be expressed a product ofpseudo-automorphisms and right translations ofelements of the nucleus of the loop. The Bryant-Schneider group of a C-loop is also shown to be a kind of generalized holomorph of the loop. |
| author |
Olusola Adeniran,John Tunde Oyebo,Yacub Mohammed,Daabo |
| author_facet |
Olusola Adeniran,John Tunde Oyebo,Yacub Mohammed,Daabo |
| author_sort |
Olusola Adeniran,John |
| title |
On certain isotopic maps of central loops |
| title_short |
On certain isotopic maps of central loops |
| title_full |
On certain isotopic maps of central loops |
| title_fullStr |
On certain isotopic maps of central loops |
| title_full_unstemmed |
On certain isotopic maps of central loops |
| title_sort |
on certain isotopic maps of central loops |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2011 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300003 |
| work_keys_str_mv |
AT olusolaadeniranjohn oncertainisotopicmapsofcentralloops AT tundeoyeboyacub oncertainisotopicmapsofcentralloops AT mohammeddaabo oncertainisotopicmapsofcentralloops |
| _version_ |
1718439778490253312 |