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Subdirect products of pro-p groups

Published online by Cambridge University Press:  09 January 2015

DESSISLAVA H. KOCHLOUKOVA  and
PAVEL A. ZALESSKII
DESSISLAVA H. KOCHLOUKOVA
Affiliation:
Department of Mathematics, State University of Campinas (UNICAMP), BrazilRua Sérgio Buarque de Holanda, 651, Campinas, SP, Brasil, CEP 13083-859. e-mail: desi@ime.unicamp.br
PAVEL A. ZALESSKII
Affiliation:
Department of Mathematics, University of Brasília, BrazilCampus Universitario, Brasilia-DF, Brasil 70910-900. e-mail: zalesski@gmail.com
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Abstract

We study when a pro-p subdirect product S ⩽ G1 × . . . × Gn is of type FPm for m ⩾ 2 for some special pro-p groups Gi. In particular we treat the case when Gi is a finitely generated non-trivial free pro-p product different from C2 ∐ C2 if p = 2 or a non-abelian pro-p group from the class $\mathcal{L}$ defined in [12].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 158 , Issue 2 , March 2015 , pp. 289 - 303
Copyright
Copyright © Cambridge Philosophical Society 2015 

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