We prove an old standing conjecture by showing that the lattice of subgroups of every finite simple group is a complemented lattice. We achieve this result by using the classification of finite simple groups, and information on the maximal subgroups.
The finite simple groups have complemented subgroup lattices
COSTANTINI, MAURO;ZACHER, GIOVANNI
2004
Abstract
We prove an old standing conjecture by showing that the lattice of subgroups of every finite simple group is a complemented lattice. We achieve this result by using the classification of finite simple groups, and information on the maximal subgroups.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Simple_K.pdf
accesso aperto
Tipologia:
Published (Publisher's Version of Record)
Licenza:
Accesso gratuito
Dimensione
177.77 kB
Formato
Adobe PDF
|
177.77 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
