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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>2</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2013</Year>
					<Month>03</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Factorizing profinite groups into two abelian subgroups</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>45</FirstPage>
			<LastPage>47</LastPage>
			<ELocationID EIdType="pii">2341</ELocationID>
			
<ELocationID EIdType="doi">10.22108/ijgt.2013.2341</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Wolfgang</FirstName>
					<LastName>Herfort</LastName>
<Affiliation>University of Technology</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2012</Year>
					<Month>11</Month>
					<Day>01</Day>
				</PubDate>
			</History>
		<Abstract>We prove that the class of profinite groups $G$ that have a factorization $G=AB$‎ ‎with $A$ and $B$ abelian closed subgroups‎, ‎is closed under taking inverse limits‎ ‎of surjective inverse systems‎. ‎This is a generalization of a recent result by K. H. Hofmann and F. G. Russo‎. ‎As an application we reprove their generalization of Iwasawa&#039;s structure theorem for‎ ‎quasihamiltonian pro-$p$ groups‎.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">group factorization</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">pro-$p$ groups</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">limits</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://ijgt.ui.ac.ir/article_2341_935b81d6227dda83e4ad6d3d1bc07f37.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
