A separable deformation of the quaternion group algebra
Rings and Algebras
2007-05-23 v1
Abstract
The Donald-Flanigan conjecture asserts that for any finite group and for any field, the corresponding 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 the quaternion group algebra. In a sense, the conjecture for any finite group is open again.
Keywords
Cite
@article{arxiv.0704.1556,
title = {A separable deformation of the quaternion group algebra},
author = {Nurit Barnea and Yuval Ginosar},
journal= {arXiv preprint arXiv:0704.1556},
year = {2007}
}
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7 pages