| Abelianization of space groups. | |
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MedLine Citation:
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PMID: 19092173 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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The abelianization of a group is its commutator quotient group. In this paper, we provide tables of the abelianizations of all the n-dimensional space groups for n = 1, 2, 3. We prove that the exponent of the torsion subgroup of the abelianization of an arbitrary n-dimensional space group Gamma divides the order of the point group of Gamma. |
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Authors:
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John G Ratcliffe; Steven T Tschantz |
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Publication Detail:
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Type: Journal Article Date: 2008-11-18 |
Journal Detail:
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Title: Acta crystallographica. Section A, Foundations of crystallography Volume: 65 ISSN: 1600-5724 ISO Abbreviation: Acta Crystallogr., A, Found. Crystallogr. Publication Date: 2009 Jan |
Date Detail:
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Created Date: 2008-12-18 Completed Date: 2009-01-23 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 8305825 Medline TA: Acta Crystallogr A Country: Denmark |
Other Details:
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Languages: eng Pagination: 18-27 Citation Subset: - |
Affiliation:
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Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA. j.g.ratcliffe@vanderbilt.edu |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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