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Abstract: The descent algebra of the symmetric group, over a field of non-zerocharacteristic p, is studied. A homomorphism into the algebra of generalisedp-modular characters of the symmetric group is defined. This is then used todetermine the radical, and its nilpotency index. It also allows the irreduciblerepresentations of the descent algebra to be described.



Author: M. D. Atkinson, S. J. van Willigenburg

Source: https://arxiv.org/







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