ON THE LOCAL HYPERCENTER OF A GROUP
We introduce a local hypercenter of an arbitrary group and study its basic properties. With this concept, it turns out that classical theorems of Baer, Malcev and McLain on locally nilpotent groups can be obtained as special cases of statements which are valid in any group. Furthermore, we investig...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2007
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300008 |
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oai:scielo:S0716-091720070003000082008-01-28ON THE LOCAL HYPERCENTER OF A GROUPSILVA RAMOS,JOSÉ IVÁNMAIER,RUDOLFWe introduce a local hypercenter of an arbitrary group and study its basic properties. With this concept, it turns out that classical theorems of Baer, Malcev and McLain on locally nilpotent groups can be obtained as special cases of statements which are valid in any group. Furthermore, we investigate the connection between the local hypercenter of a group and the intersection of its maximal locally nilpotent subgroups.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.26 n.3 20072007-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300008en10.4067/S0716-09172007000300008 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
We introduce a local hypercenter of an arbitrary group and study its basic properties. With this concept, it turns out that classical theorems of Baer, Malcev and McLain on locally nilpotent groups can be obtained as special cases of statements which are valid in any group. Furthermore, we investigate the connection between the local hypercenter of a group and the intersection of its maximal locally nilpotent subgroups. |
| author |
SILVA RAMOS,JOSÉ IVÁN MAIER,RUDOLF |
| spellingShingle |
SILVA RAMOS,JOSÉ IVÁN MAIER,RUDOLF ON THE LOCAL HYPERCENTER OF A GROUP |
| author_facet |
SILVA RAMOS,JOSÉ IVÁN MAIER,RUDOLF |
| author_sort |
SILVA RAMOS,JOSÉ IVÁN |
| title |
ON THE LOCAL HYPERCENTER OF A GROUP |
| title_short |
ON THE LOCAL HYPERCENTER OF A GROUP |
| title_full |
ON THE LOCAL HYPERCENTER OF A GROUP |
| title_fullStr |
ON THE LOCAL HYPERCENTER OF A GROUP |
| title_full_unstemmed |
ON THE LOCAL HYPERCENTER OF A GROUP |
| title_sort |
on the local hypercenter of a group |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2007 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300008 |
| work_keys_str_mv |
AT silvaramosjoseivan onthelocalhypercenterofagroup AT maierrudolf onthelocalhypercenterofagroup |
| _version_ |
1718439755567333376 |