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

DOI:
https://doi.org/10.1090/S0002-9939-08-09480-X

Published electronically:
April 2, 2008

MathSciNet review:
2399028

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

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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:
https://doi.org/10.1090/S0002-9939-08-09480-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.