Embedding properties of metabelian pro-p groups

Dessislava H Kochloukova 1 , 1  and Aline G. S Pinto 2 , 2
  • 1 IMECC-UNICAMP, Cx.P. 6065, 13083-790 Campinas, SP, Brazil.
  • 2 IMECC-UNICAMP, Cx.P. 6065, 13083-790 Campinas, SP, Brazil, Current address: Department of Mathematics, University of Brasília, 70910-900 Brasília, DF, Brazil.

Abstract

Let G be a (topologically) finitely generated metabelian pro-p group. We prove the conjecture of J. King [7] that for any natural number m the group G embeds in a metabelian pro-p group of type FPm over ℤp.

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The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered.

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