Given a finite $p$-group $G$ we construct inductively a chief series only by lattice theoretical means. This improves a result of R. Schmidt that shows that any projectivity between finite $p$ groups $G$ and $H$ sends a chief series of $G$ into a chief series of $H$.
Normal subgroups in the subgroup lattices of finite $p$-groups
MAINARDIS, Mario
2006-01-01
Abstract
Given a finite $p$-group $G$ we construct inductively a chief series only by lattice theoretical means. This improves a result of R. Schmidt that shows that any projectivity between finite $p$ groups $G$ and $H$ sends a chief series of $G$ into a chief series of $H$.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.
