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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/415211
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact