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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Amirkabir University of Technology</PublisherName>
				<JournalTitle>AUT Journal of Mathematics and Computing</JournalTitle>
				<Issn>2783-2449</Issn>
				<Volume>4</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2023</Year>
					<Month>02</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>47</FirstPage>
			<LastPage>55</LastPage>
			<ELocationID EIdType="pii">5034</ELocationID>
			
<ELocationID EIdType="doi">10.22060/ajmc.2022.21877.1117</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Xavier</FirstName>
					<LastName>Mbaale</LastName>
<Affiliation>Department of Mathematics and Statistics, University of Zambia,  Lusaka, Zambia</Affiliation>

</Author>
<Author>
					<FirstName>Bernardo G.</FirstName>
					<LastName>Rodrigues</LastName>
<Affiliation>Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0028, South Africa</Affiliation>

</Author>
<Author>
					<FirstName>Seiran</FirstName>
					<LastName>Zandi</LastName>
<Affiliation>Farzanegan1 High School, Sanandaj, Kurdistan, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2022</Year>
					<Month>10</Month>
					<Day>23</Day>
				</PubDate>
			</History>
		<Abstract>In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of elements of the group $PSL(2,q)$ for $q$ a power of an odd prime.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Linear group</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Design</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">conjugacy class</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">maximal subgroup</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">primitive permutation representation</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://ajmc.aut.ac.ir/article_5034_2e2079d63348233d91cad1fa9b1361e9.pdf</ArchiveCopySource>
</Article>
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