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A separable deformation of the quaternion group algebra
Author(s):
Nurit
Barnea;
Yuval
Ginosar
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2675-2681.
MSC (2000):
Primary 16S80
Posted:
April 2, 2008
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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:
10.1090/S0002-9939-08-09480-X
PII:
S 0002-9939(08)09480-X
Received by editor(s):
April 23, 2007
Posted:
April 2, 2008
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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