DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS

作者:Acciarri Cristina*; Lima Aline De Souza; Shumyatsky Pavel
来源:Glasgow Mathematical Journal, 2012, 54(1): 97-105.
DOI:10.1017/S0017089511000383

摘要

The main result of this paper is the following theorem. Let q be a prime and A be an elementary abelian group of order q(3). Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that C(G)(a)%26apos; is periodic for each a is an element of A(#). Then G%26apos; is locally finite.

  • 出版日期2012-1

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