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Preprint . 2007
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zbMATH Open
Article . 1997
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Publicationes Mathematicae Debrecen
Article . 1997 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2007
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Symmetric units in integral group rings

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 1997Embargo end date: 01 Jan 2007 Hungary Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 50, pages 369-372 (issn: 0033-3883, Copyright policy )Funded by:NSERC | unidentified
Authors: Bódi, Viktor; Parmenter, M. M.;

doi: 10.5486/pmd.1997.1853 , 10.48550/arxiv.0712.3175

arXiv: 0712.3175

Symmetric units in integral group rings

Abstract

In this paper, we study the question of when the symmetric units in an integral group ring ZG form a multiplicative group. When G is periodic, necessary and sufficient conditions are given for this to occur.

Country
Hungary
Related Organizations
Keywords

integral group rings, Units, groups of units (associative rings and algebras), QA Mathematics / matematika, Group rings, Group rings of infinite groups and their modules (group-theoretic aspects), Subgroup theorems; subgroup growth, torsion subgroups, Mathematics - Rings and Algebras, Group Theory (math.GR), Rings and Algebras (math.RA), FOS: Mathematics, QA72 Algebra / algebra, groups of units, 16U60, 16U60; 16S34, symmetric units, 16S34, Mathematics - Group Theory

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 7
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
Green