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Ordered set partition posets

math.CO · 2025-06-29 · accept · novelty 6.0

Ordered partition posets with block sizes divisible by d are Cohen-Macaulay with explicitly computed symmetric-group homology, and the modulo-1 variant has Catalan Möbius functions.

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  • Ordered set partition posets math.CO · 2025-06-29 · accept · none · ref 5

    Ordered partition posets with block sizes divisible by d are Cohen-Macaulay with explicitly computed symmetric-group homology, and the modulo-1 variant has Catalan Möbius functions.