Home >> Quarterly Journal of Mathematics, Volume 53, Number 3

Coprime Automorphisms of Profinite Groups

Author: Shumyatsky P.

Source: Quarterly Journal of Mathematics, Volume 53, Number 3, September 2002 , pp. 371-376(6)

Publisher: Oxford University Press

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Abstract:

The following theorem is proved. Let q be a prime number, A an elementary abelian group of order q2. Suppose that A acts as a coprime group of automorphisms on a profinite group G. Assume that CG(a) is periodic for each a isin A#. Then G is locally finite.

Document Type: Original article

Affiliations: 1: Department of Mathematics, University of Brasilia, Brasilia-DF, 70910-900 Brazil

Publication date: 2002-09-01

More about this publication?
  • The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. Areas such as algebra, differential geometry, and global analysis receive particular emphasis. However the journal avoids specialization.
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