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On a certain ideal of Külshammer in the centre of a group algebra

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Abstract.

Let G be a finite group and let F be a splitting field of characteristic \( p > 0 \). We show that I 2 = E 0, where I is a certain ideal of the centre Z of FG, and E 0 is the span of the block idempotents of defect zero.

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Eingegangen am 11. 2. 2000

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Murray, J. On a certain ideal of Külshammer in the centre of a group algebra. Arch. Math. 77, 373–377 (2001). https://doi.org/10.1007/PL00000506

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