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Rank of inclusion matrices and modular representation theory

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We use results from the modular representation theory of the groupsS n and GL n (F q ) to determine the rank of inclusion matrices.

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Frumkin, A., Yakir, A. Rank of inclusion matrices and modular representation theory. Israel J. Math. 71, 309–320 (1990). https://doi.org/10.1007/BF02773749

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