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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Bicyclic units of $\mathbb {Z} S_n$
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by Aurora Olivieri and Ángel del Río PDF
Proc. Amer. Math. Soc. 131 (2003), 1649-1653 Request permission

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).
References
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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
  • MR Author ID: 288713
  • Email: adelrio@um.es
  • 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
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 1649-1653
  • MSC (2000): Primary 20C05; Secondary 16U60
  • DOI: https://doi.org/10.1090/S0002-9939-03-06839-4
  • MathSciNet review: 1953568