In these notes we recall the classical notions of growth and growth rate for finitely generated groups and the main results in the theory related to Milnor’s problem. Then, we describe how one can extend these concepts and results to the general case of group endomorphisms, using the language and features of the algebraic entropy. Finally, we mention the main properties of the algebraic entropy, paying special attention to its additivity with respect to short exact sequences.
Growth of groups and of group endomorphisms
Anna Giordano Bruno
Primo
2023-01-01
Abstract
In these notes we recall the classical notions of growth and growth rate for finitely generated groups and the main results in the theory related to Milnor’s problem. Then, we describe how one can extend these concepts and results to the general case of group endomorphisms, using the language and features of the algebraic entropy. Finally, we mention the main properties of the algebraic entropy, paying special attention to its additivity with respect to short exact sequences.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
GiordanoBruno.pdf
non disponibili
Descrizione: File Principale
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non pubblico
Dimensione
1.1 MB
Formato
Adobe PDF
|
1.1 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
