On direct products of free pro-p groups and Demushkin groups of infinite depth

Hamish Short (1, 2) , Kouchloukova Dessislava H. (3)

1 I2M - Institut de Mathématiques de Marseille
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités
3 IMECC - Instituto de Matemática, Estatística e Computação Científica [Brésil]

We study subdirect products of free and Demushkin pro-p groups of depth ∞ developing theory similar to the abstract case, see Bridson et al. (2002) . Furthermore we classify when a subdirect product has homological type image for some image, a problem still open for abstract groups for image.

Mots clés: Subdirect product; Pro-p group; Demushkin group

Domaines: Théorie des groupes [math.GR]

Hamish Short, Kouchloukova Dessislava H.. On direct products of free pro-p groups and Demushkin groups of infinite depth. Journal of Algebra, 2011, 343 (1), pp.160-172. ⟨10.1016/j.jalgebra.2011.06.012⟩. ⟨hal-00945222⟩