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

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

 

A separable deformation of the quaternion group algebra


Authors: Nurit Barnea and Yuval Ginosar
Journal: Proc. Amer. Math. Soc. 136 (2008), 2675-2681
MSC (2000): Primary 16S80
Published electronically: April 2, 2008
MathSciNet review: 2399028
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The Donald-Flanigan conjecture asserts that for any finite group $ G$ and any field $ k$, the group algebra $ kG$ can be deformed to a separable algebra. The minimal unsolved instance, namely the quaternion group $ Q_8$ over a field $ k$ of characteristic 2 was considered as a counterexample. We present here a separable deformation of $ kQ_8$. In a sense, the conjecture for any finite group is open again.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 16S80

Retrieve articles in all journals with MSC (2000): 16S80


Additional Information

Nurit Barnea
Affiliation: Department of Mathematics, University of Haifa, Haifa 31905, Israel

Yuval Ginosar
Affiliation: Department of Mathematics, University of Haifa, Haifa 31905, Israel
Email: ginosar@math.haifa.ac.il

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09480-X
PII: S 0002-9939(08)09480-X
Received by editor(s): April 23, 2007
Published electronically: April 2, 2008
Communicated by: Martin Lorenz
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.