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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bicyclic units of $\mathbb{Z} S_n$


Authors: Aurora Olivieri and Ángel del Río
Journal: Proc. Amer. Math. Soc. 131 (2003), 1649-1653
MSC (2000): Primary 20C05; Secondary 16U60
Published electronically: January 15, 2003
MathSciNet review: 1953568
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Abstract: We prove that the group generated by the bicyclic units of $\mathbb{Z} S_n$ has torsion for $n\ge 4$. This answers a question of Sehgal (1993).


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Additional Information

Aurora Olivieri
Affiliation: Departamento de Matemáticas, Universidad Simón Bolívar, Apartado Postal 89000, Caracas 1080-A, Venezuela
Email: olivieri@usb.ve

Ángel del Río
Affiliation: Departamento de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain
Email: adelrio@um.es

DOI: http://dx.doi.org/10.1090/S0002-9939-03-06839-4
PII: S 0002-9939(03)06839-4
Received by editor(s): May 16, 2001
Received by editor(s) in revised form: July 17, 2001
Published electronically: January 15, 2003
Additional Notes: The second author was partially supported by the D.G.I. of Spain and Fundación Séneca of Murcia.
Communicated by: Stephen D. Smith
Article copyright: © Copyright 2003 American Mathematical Society