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;
2012-01-01

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.
54
01
97
105
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]
Acciarri, C; DE SOUZA LIMA, A; Shumyatsky, P
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1255516
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