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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus


IMPACT FACTOR 2018: 0.470
5-year IMPACT FACTOR: 0.520

CiteScore 2018: 0.53

SCImago Journal Rank (SJR) 2018: 0.566
Source Normalized Impact per Paper (SNIP) 2018: 1.047

Mathematical Citation Quotient (MCQ) 2018: 0.48

Online
ISSN
1435-4446
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Volume 8, Issue 6

Issues

Generic units in abelian group rings

Zbigniew Marciniak / Sudarshan K. Sehgal
Published Online: 2005-11-18 | DOI: https://doi.org/10.1515/jgth.2005.8.6.777

Abstract

We introduce generic units in ℤCn and prove that they are precisely the shifted cyclotomic polynomials. They generate the group 

of constructible units. For each cyclic group we produce a basis of a finite index subgroup of integral units consisting of certain irreducible cyclotomic polynomials; this extends a result of Hoechsmann and Ritter. We also study ‘alternating-like’ units and decide when they generate a subgroup of finite index.

About the article

Published Online: 2005-11-18

Published in Print: 2005-11-18


Citation Information: Journal of Group Theory, Volume 8, Issue 6, Pages 777–799, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth.2005.8.6.777.

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