M\"obius numbers of some modified generalized noncrossing partitions

Abstract

In this paper we will give a M\"obius number of NCk(W) mins \0 \ for a Coxeter group W which contains an affirmative answer for the conjecture 3.7.9 in Armstrong's paper [ Generalized noncrossing partitions and combinatorics of Coxeter groups. arXiv:math/0611106].

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