The Cyclic Decomposition Of cf(Q_4q×C_5)/ R ̅(Q_4q×C_5)

Authors

Naseer Rasool Albakaa, University of Kufa -Faculty of Education -Mathematics, Najaf, IraqFollow
Habeeb Kareem Al-Bdairi, University of Kufa -Faculty of Education for Women-Mathematics, Najaf, IraqFollow
Neeran Tahir Abd Alameer, University of Kufa-Faculty of Education for Women-Mathematics,Najaf, IraqFollow

Document Type

Article

Abstract

In this paper, we propose the cyclic decomposition of the factor group , and the group is Z-valued class functions of the direct product group under the operation of addition, and is the subgroup of the generalized characters of the group .Then is an abelian factor group denoted by where is the quaternion group of order and is the cyclic group of order . Also, we find the rational valued characters table of the group when is prime numbers is given as follows

Keywords

matrix representation, character tables, Quaternion groups, the cyclic decomposition of group.

Recommended Citation

Albakaa, Naseer Rasool; Al-Bdairi, Habeeb Kareem; and Abd Alameer, Neeran Tahir (2022) "The Cyclic Decomposition Of cf(Q_4q×C_5)/ R ̅(Q_4q×C_5)," Al-Qadisiyah Journal of Pure Science: Vol. 27 : No. 1 , Article 5.
Available at: https://doi.org/10.29350/qjps.2022.27.1.1476

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.