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Article Dans Une Revue International Journal of Algebra and Computation Année : 2021

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

Résumé

Let [Formula: see text] be the simple group [Formula: see text], where [Formula: see text] is a prime number. For any subgroup [Formula: see text] of [Formula: see text], we compute the Möbius function [Formula: see text] of [Formula: see text] in the subgroup lattice of [Formula: see text]. To this aim, we describe the intersections of maximal subgroups of [Formula: see text]. 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 [Formula: see text]-subgroups of [Formula: see text], for any prime [Formula: see text] and any prime power [Formula: see text].
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Dates et versions

hal-03852304 , version 1 (14-11-2022)

Identifiants

Citer

Martino Borello, Francesca Dalla Volta, Giovanni Zini. The Möbius function of PSL(3,2p) for any prime p. International Journal of Algebra and Computation, 2021, 31 (06), pp.987-1011. ⟨10.1142/S0218196721400014⟩. ⟨hal-03852304⟩
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