A separable deformation of the quaternion group algebra

Nurit Barnea; Yuval Ginosar

doi:10.1090/S0002-9939-08-09480-X

A separable deformation of the quaternion group algebra

Nurit Barnea, Yuval Ginosar

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 Q₈ over a field k of characteristic 2 was considered as a counterexample. We present here a separable deformation of kQ₈. In a sense, the conjecture for any finite group is open again.

Original language	English
Pages (from-to)	2675-2681
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-08-09480-X
State	Published - Aug 2008

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-08-09480-X

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A separable deformation of the quaternion group algebra

Abstract

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