A group word w is said to be strongly concise in a class C of profinite groups if, for every group G in C such that w takes less than 2ℵ0 values in G, the verbal subgroup w(G) is finite. In this paper, we prove that every group word is strongly concise in the class of virtually nilpotent profinite groups.
A note on strong conciseness in virtually nilpotent profinite groups
Detomi E.
2023
Abstract
A group word w is said to be strongly concise in a class C of profinite groups if, for every group G in C such that w takes less than 2ℵ0 values in G, the verbal subgroup w(G) is finite. In this paper, we prove that every group word is strongly concise in the class of virtually nilpotent profinite groups.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
s00013-022-01808-z-1.pdf
accesso aperto
Tipologia:
Published (publisher's version)
Licenza:
Creative commons
Dimensione
276.36 kB
Formato
Adobe PDF
|
276.36 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
