<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-1858</article-id>
      <title-group>
        <article-title>Unit groups of semisimple group algebras of groups up to order 180</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Abhilash</surname>
            <given-names>N.</given-names>
          </name>
          <aff>Department of Mathematics, College of Engineering and Technology, SRM Institute of Science &amp; Technology, Kattankulathur, Tamil Nadu, 603203, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Nandakumar</surname>
            <given-names>E.</given-names>
          </name>
          <aff>Department of Mathematics, College of Engineering and Technology, SRM Institute of Science &amp; Technology, Kattankulathur, Tamil Nadu, 603203, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Mittal</surname>
            <given-names>G.</given-names>
          </name>
          <aff>Defence Research and Development Organization, Near Metcalfe House, Delhi, 110054, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Sharma</surname>
            <given-names>R. K.</given-names>
          </name>
          <aff>Department of Mathematics, Indian Institute of Technology, Delhi, 110016, India</aff>
        </contrib>
      </contrib-group>
      <volume>27</volume>
      <issue>6</issue>
      <fpage>1383</fpage>
      <lpage>1404</lpage>
      <pub-date date-type="pub">
        <day>30</day>
        <month>09</month>
        <year>2024</year>
      </pub-date>
      <abstract>
        <p>In this paper, we discuss the structure of the unit groups of the semisimple group algebras of 10 non-metabelian group having orders 150, 160, 168 and 180, respectively. In particular, we consider the only one non-metabelian group of orders 150 and 180, two non-metabelian group of order 160 and six non-metabelian group of order 168 and study the unit groups of their corresponding semisimple group algebra. With this paper, the study of the unit groups of semisimple group algebra of all the groups up to order 180 is completed. </p>
      </abstract>
      <kwd-group>
        <kwd>Non-metabelian groups</kwd>
        <kwd>Finite field</kwd>
        <kwd>Group algebra</kwd>
        <kwd>Unit group</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>
