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The Möbius function of PSL(3,2p) for any prime p

    https://doi.org/10.1142/S0218196721400014Cited by:0 (Source: Crossref)
    This article is part of the issue:

    Let G be the simple group PSL(3,2p), where p is a prime number. For any subgroup H of G, we compute the Möbius function μ(H) of H in the subgroup lattice of G. To this aim, we describe the intersections of maximal subgroups of G. We point out some connections of the Möbius function with other combinatorial objects, and, in this context, we compute the reduced Euler characteristic of the order complex of the subposet of r-subgroups of PGL(3,q), for any prime r and any prime power q.

    Communicated by all the special editors

    AMSC: 05E16, 20D30, 20D06

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