A separable deformation of the quaternion group algebra

Nurit Barnea; Yuval Ginosar

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arXiv · 0704.1556

A separable deformation of the quaternion group algebra

Nurit Barnea·Yuval Ginosar

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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.

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Nurit Barnea, Yuval Ginosar. 2007-04-12. A separable deformation of the quaternion group algebra. https://arxiv.org/abs/0704.1556

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