Ranks, Subdegrees and Suborbital graphs of the product action of Affine Groups

dc.contributor.author	Agwanda, Siahi Maxwell
dc.contributor.author	Kimani, Patrick
dc.contributor.author	Kamuti, Ireri
dc.date.accessioned	2022-10-28T08:39:16Z
dc.date.available	2022-10-28T08:39:16Z
dc.date.issued	2020
dc.identifier.citation	DOI: https://doi.org/10.24297/jam.v19i.8891	en_US
dc.identifier.issn	23471921
dc.identifier.uri	http://repository.embuni.ac.ke/handle/123456789/4196
dc.description.abstract	The action of affine groups on Galois field has been studied. For instance, [3] studied the action of 𝐴𝑓𝑓 (𝑞 ) on Galois field 𝐺𝐹 (𝑞) for 𝑞 a power of prime 𝑝. In this paper, the rank and subdegree of the direct product of affine groups over Galois field acting on the cartesian product of Galois field is determined. The application of the definition of the product action is used to achieve this. The ranks and subdegrees are used in determination of suborbital graph, the non-trivial suborbital graphs that correspond to this action have been constructed using Sims procedure and were found to have a girth of 0, 3, 4 and	en_US
dc.language.iso	en	en_US
dc.publisher	UoEm	en_US
dc.subject	Ranks	en_US
dc.subject	Subdegrees	en_US
dc.subject	Transitivity	en_US
dc.subject	Suborbital graphs	en_US
dc.title	Ranks, Subdegrees and Suborbital graphs of the product action of Affine Groups	en_US
dc.type	Article	en_US

Articles: Department of Mathematics and Statistics [85]
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