Bicyclic units of ℤ _{ }

We prove that the group generated by the bicyclic units of Z S n \mathbb {Z} S_n has torsion for n ≥ 4 n\ge 4 . This answers a question of Sehgal (1993).

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2003-06, Vol.131 (6), p.1649-1653
Main Authors: Olivieri, Aurora, del Río, Ángel
Format: Article
Language:English
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Description
Summary:We prove that the group generated by the bicyclic units of Z S n \mathbb {Z} S_n has torsion for n ≥ 4 n\ge 4 . This answers a question of Sehgal (1993).
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-03-06839-4