Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

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


Cyclicity conditions for division algebras of prime degree

Authors: M. Mahdavi-Hezavehi and J.-P. Tignol
Journal: Proc. Amer. Math. Soc. 131 (2003), 3673-3676
MSC (2000): Primary 16K20
Published electronically: February 26, 2003
MathSciNet review: 1998187
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $D$ be a division algebra of prime degree $p$. A set of criteria is given for cyclicity of $D$in terms of subgroups of the multiplicative group $D^*$ of $D$. It is essentially shown that $D$ is cyclic if and only if $D^*$contains a nonabelian metabelian subgroup.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 16K20

Retrieve articles in all journals with MSC (2000): 16K20

Additional Information

M. Mahdavi-Hezavehi
Affiliation: Department of Mathematical Sciences, Sharif University of Technology, P. O. Box 11365–9415, Tehran, Iran

J.-P. Tignol
Affiliation: Institut de Mathématique Pure et Appliquée, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium

PII: S 0002-9939(03)06959-4
Received by editor(s): June 19, 2002
Received by editor(s) in revised form: July 15, 2002
Published electronically: February 26, 2003
Additional Notes: The first author thanks the Research Council of Sharif University of Technology for support. He also thanks Professor J.-P. Tignol for his hospitality during his stay at the Université Catholique de Louvain in May 2002.
The second author was partially supported by the National Fund for Scientific Research (Belgium).
Communicated by: Martin Lorenz
Article copyright: © Copyright 2003 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia