Characterization of A8 by 3-Centralizers
| dc.contributor.author | Ligonnah, A. | |
| dc.date.accessioned | 2015-03-27T09:47:03Z | |
| dc.date.available | 2015-03-27T09:47:03Z | |
| 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 2H, if xg 2H for any g 2 G, then g 2 H.’It is proved that for n = 8, G is isomorphic to LK, an extension of an elementary Abelian 2-group L by a group K isomorphic to either A8 or SL(5, 2). If G is simple, it is shown that G is isomorphic to A8 or SL(5, 2). | en_US |
| dc.identifier.citation | Ligonnah, A.A. (2014). Characterization of A8 by 3-Centralizers. International Science and Technology Journal of Namibia, 4, 51-61. | en_US |
| dc.identifier.issn | 20267673 | |
| dc.identifier.uri | http://hdl.handle.net/11070/1416 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of Namibia | en_US |
| dc.subject | Alternating Group | en_US |
| dc.subject | Alternating group | en_US |
| dc.subject | Classification | en_US |
| dc.title | Characterization of A8 by 3-Centralizers | en_US |
| dc.type | Article | en_US |