The Möbius function of PSU(3, 22n)

Giovanni Zini

Abstract


Let G be the simple group PSU(3, 22n), n > 0. For any subgroup H of G, we compute the Möbius function μL(H, G) of H in the subgroup lattice L of G, and the Möbius function μ([H], [G]) of [H] in the poset of conjugacy classes of subgroups of G. For any prime p, we provide the Euler characteristic of the order complex of the poset of non-trivial p-subgroups of G.


Keywords


Unitary groups, Möbius function, subgroup lattice

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DOI: https://doi.org/10.26493/1855-3974.1765.d73

ISSN: 1855-3974

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