Characterization of An for n = 5, 6 by 3-centralizers
| dc.contributor.author | Ligonnah, A. | |
| dc.date.accessioned | 2014-06-26T09:23:17Z | |
| dc.date.available | 2014-06-26T09:23:17Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | Let G be a finite group containing a subgroup H isomorphic to an alternating group, An, such that G satisfies the 3-cycle property, namely ’for a 3-cycle x 2 H, if xg 2 H for any g 2 G, then g 2 H.’ It is proved that G is isomorphic to LK, an extension of an Abelian 2-group L by a group K isomorphic to either A5 for n = 5; or A6 or A7 for n = 6. If G is simple, we establish that G is isomorphic to A5 for n = 5; or G is isomorphic to A6 or A7 for n = 6. | en_US |
| dc.identifier.issn | 20267673 | |
| dc.identifier.uri | http://hdl.handle.net/11070/1010 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of Namibia | en_US |
| dc.subject | Classification | en_US |
| dc.subject | Finite Group Theory | en_US |
| dc.subject | Alternating Group | en_US |
| dc.title | Characterization of An for n = 5, 6 by 3-centralizers | en_US |