<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-discrete-mathematical-sciences-and-cryptography</journal-id>
      <journal-title-group>
        <journal-title>Journal of Discrete Mathematical Sciences and Cryptography</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0065</issn>
      <issn publication-format="print">0972-0529</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JDMSC-2317</article-id>
      <title-group>
        <article-title>Result of the projective special unitary groups 𝓟𝓢𝓤(3,49) and 𝓟𝓢𝓤(3,169)</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Aziz</surname>
            <given-names>Semaa  Hassan</given-names>
          </name>
          <aff>Department of Computer Science, University of Technology, Baghdad, 10066, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Majeed</surname>
            <given-names>Abdulrahman H.</given-names>
          </name>
          <aff>Department of Mathematics, Al-Mamoun University College, Baghdad, 10012, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>7</issue>
      <fpage>2745</fpage>
      <lpage>2750</lpage>
      <pub-date date-type="pub">
        <day>31</day>
        <month>07</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>The cyclic decomposition (cy.dec.) for the groups 𝓟𝓢𝓤(3,49) and 𝓟𝓢𝓤(2,169) after gain the conjugacy classes and the character table (cha.ta.) of rational representations (ra.re.) for each group survey in this work.</p>
      </abstract>
      <kwd-group>
        <kwd>Rational representations</kwd>
        <kwd>Cyclic decomposition</kwd>
        <kwd>Conjugacy classes</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
