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Dihedral crossed products of exponent 2 are abelian

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Abstract.

We prove that assuming enough roots of unity in the base field, a central simple algebra of exponent 2 which is split by a dihedral group, is also split by certain abelian groups.

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Received: 25 June 2001

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Vishne, U. Dihedral crossed products of exponent 2 are abelian. Arch.Math. 80, 119–122 (2003). https://doi.org/10.1007/s00013-003-0787-z

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  • DOI: https://doi.org/10.1007/s00013-003-0787-z

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