Primitivity Action of the Cartesian Product of an Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
London Journals Press
Abstract
In this paper, we investigate the primitivity action properties of the cartesian product of an alternating
group
𝐴 (𝑛≥5)
𝑛
acting on a cartesian product of ordered sets of triples using the definition primitivity
and blocks. When
𝑛≥5, the cartesian product of the alternating group,
𝐴 × 𝐴 × 𝐴
𝑛 𝑛 𝑛
, acts
imprimitively on a cartesian product of ordered sets of triples, , [3] [3] [3]. Mathematics Subject Classification: 20B05; 20B15; 20B20
Description
Research Article
Keywords
Transitivity Action, Primitivity Action, Ordered Sets of Triples, Cartesian Product and Alternating Group.
Citation
Maraka, M. K., Musundi, S. W., & Nyaga, L. N. (2022). Primitivity Action of the Cartesian Product of an Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples.