The main result of this paper is the following theorem. Let q be a prime and A be an elementary abelian group of order q3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that C_G(a)′ is periodic for each a ∈ A#. Then G′ is locally finite.
Derived subgroups of fixed points in profinite groups / Acciarri, C; DE SOUZA LIMA, A; Shumyatsky, P. - In: GLASGOW MATHEMATICAL JOURNAL. - ISSN 0017-0895. - 54:01(2012), pp. 97-105. [10.1017/S0017089511000383]
Derived subgroups of fixed points in profinite groups
ACCIARRI C;
2012
Abstract
The main result of this paper is the following theorem. Let q be a prime and A be an elementary abelian group of order q3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that C_G(a)′ is periodic for each a ∈ A#. Then G′ is locally finite.
| File | Dimensione | Formato | |
|---|---|---|---|
|
derived-subgroups-of-fixed-points-in-profinite-groups_l.pdf
Open access
Tipologia:
Versione pubblicata dall'editore
Dimensione
107.41 kB
Formato
Adobe PDF
|
107.41 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
