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Show simple item record Ligonnah, A. 2015-03-27T09:47:03Z 2015-03-27T09:47:03Z 2014
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.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.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

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