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Mathematics

Al-Qadisiyah Journal of Pure Science

Journal

Character tables

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

The Cyclic Decomposition Of Cf(Q_14×C_2p)/ R ̅(Q_14×C_2p), Naseer Rasool Albakaa, Habeeb Kareem Al-Bdairi, Neeran Tahir Abd Alameer Apr 2022

The Cyclic Decomposition Of Cf(Q_14×C_2p)/ R ̅(Q_14×C_2p), Naseer Rasool Albakaa, Habeeb Kareem Al-Bdairi, Neeran Tahir Abd Alameer

Al-Qadisiyah Journal of Pure Science

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 and prime numbers and is given as follows


The Cyclic Decomposition Of Cf(Q_4q×C_5)/ R ̅(Q_4q×C_5), Naseer Rasool Albakaa, Habeeb Kareem Al-Bdairi, Neeran Tahir Abd Alameer Apr 2022

The Cyclic Decomposition Of Cf(Q_4q×C_5)/ R ̅(Q_4q×C_5), Naseer Rasool Albakaa, Habeeb Kareem Al-Bdairi, Neeran Tahir Abd Alameer

Al-Qadisiyah Journal of Pure Science

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