<?xml version="1.0" encoding="UTF-8"?>
<!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>6</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2017</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Converse of lagrange's theorem (CLT) numbers under 1000</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>37</FirstPage>
			<LastPage>42</LastPage>
			<ELocationID EIdType="pii">13314</ELocationID>
			
<ELocationID EIdType="doi">10.22108/ijgt.2017.13314</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Jean B.</FirstName>
					<LastName>Nganou</LastName>
<Affiliation>University of Oregon</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2015</Year>
					<Month>10</Month>
					<Day>15</Day>
				</PubDate>
			</History>
		<Abstract>A positive integer $n$ is called a CLT number if every group of order $n$ satisfies the converse of Lagrange&#039;s Theorem‎. ‎In this note‎, ‎we find all CLT and supersolvable numbers up to $1000$‎. ‎We also formulate some questions about the distribution of these numbers‎.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">‎CLT number‎</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">‎Supersolvable number‎</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">‎Good number</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://ijgt.ui.ac.ir/article_13314_188efd7436d4971e7d2e54f372a19e7a.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
