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<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>University of Isfahan</PublisherName>
				<JournalTitle>International Journal of Group Theory</JournalTitle>
				<Issn>2251-7650</Issn>
				<Volume>8</Volume>
				<Issue>4</Issue>
				<PubDate PubStatus="epublish">
					<Year>2019</Year>
					<Month>12</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Further rigid triples of classes in $G_{2}$</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>5</FirstPage>
			<LastPage>9</LastPage>
			<ELocationID EIdType="pii">23002</ELocationID>
			
<ELocationID EIdType="doi">10.22108/ijgt.2018.111467.1481</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Matthew</FirstName>
					<LastName>Conder</LastName>
<Affiliation>University of Cambridge</Affiliation>

</Author>
<Author>
					<FirstName>Alastair</FirstName>
					<LastName>Litterick</LastName>
<Affiliation>Bielefeld University, and Ruhr-University Bochum</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2018</Year>
					<Month>06</Month>
					<Day>08</Day>
				</PubDate>
			</History>
		<Abstract>We establish the existence of two rigid triples of conjugacy classes in the algebraic group G2 in characteristic 5, complementing results of the second author with Liebeck and Marion. As a corollary, the finite groups G2(5^n) are not (2,4,5)-generated, confirming a conjecture of Marion in this case.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">‎triangle groups‎</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">‎finite groups of Lie type‎</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">‎representation varieties</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://ijgt.ui.ac.ir/article_23002_15de87ecfb8f838128800886380cf45e.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
