Applications for the groups S.U.T.(2,p) where p prime upper than 9

Lemya abd alameer; Mahmood S. Fiadh; Niran Sabah Jasim; Jabbar Abed Eleiwy

doi:10.52866/ijcsm.2024.05.01.005

Applications for the groups S.U.T.(2,p) where p prime upper than 9

Authors

Lemya abd alameer Department of Communication Engineering, University of Technology, Baghdad, Iraq https://orcid.org/0000-0001-9258-9331
Mahmood S. Fiadh Department of Computer Science, College of Education, Al-Iraqia University, Baghdad, Iraq https://orcid.org/0000-0001-8924-2396
Niran Sabah Jasim Department of Mathematics, College of Educational for Pure Science lbn Al-Haitham, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0001-5340-3020
Jabbar Abed Eleiwy Department of Applied Sciences, University of Technology, Baghdad, Iraq https://orcid.org/0000-0002-7442-1719

DOI:

https://doi.org/10.52866/ijcsm.2024.05.01.005

Keywords:

Cyclic decomposition, upper triangular subgroup, Artin character, Artin indicator, cyclic subgroups.

Abstract

The problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing the conjugacy classes, cyclic subgroups, the ordinary character table (o.ch.ta.) and the rational valued character table for each group.

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Published

2024-01-08

How to Cite

[1]

L. abd alameer, Mahmood S. Fiadh, Niran Sabah Jasim, and Jabbar Abed Eleiwy, “Applications for the groups S.U.T.(2,p) where p prime upper than 9”, Iraqi Journal For Computer Science and Mathematics, vol. 5, no. 1, pp. 78–84, Jan. 2024.