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 µL¯ ([H], [G]) of [H] in the poset L¯ 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.
The Möbius function of PSU(3, 22n)
Zini G.
2019
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 µL¯ ([H], [G]) of [H] in the poset L¯ 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.File in questo prodotto:
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