Geodesic
The Möbius function of PSU(3, 2^2^n)
Ars Mathematica Contemporanea, Tome 16 (2019) no. 2, pp. 377-401.

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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 μL̄([H], [G]) of [H] in the poset L̄ 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.
DOI : 10.26493/1855-3974.1765.d73
Keywords: Unitary groups, Möbius function, subgroup lattice 
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Giovanni Zini. The Möbius function of PSU(3, 2^2^n). Ars Mathematica Contemporanea, Tome 16 (2019) no. 2, pp. 377-401. doi : 10.26493/1855-3974.1765.d73. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1765.d73/

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