On subdirect products of free pro-p groups and Demushkin groups of infinite depth
| Autor: | Hamish Short, Dessislava H. Kochloukova |
|---|---|
| Přispěvatelé: | Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Analyse, Topologie, Probabilités (LATP), Université Paul Cézanne - Aix-Marseille 3-Université de Provence - Aix-Marseille 1-Centre National de la Recherche Scientifique (CNRS), Instituto de Matemática, Estatística e Computação Científica [Brésil] (IMECC), Universidade Estadual de Campinas (UNICAMP), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Universidade Estadual de Campinas = University of Campinas (UNICAMP) |
| Rok vydání: | 2011 |
| Předmět: |
Discrete mathematics
Pure mathematics Abstract case Algebra and Number Theory 010102 general mathematics 20J05 20E18 Type (model theory) Demushkin group 01 natural sciences [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] Subdirect product 0103 physical sciences 010307 mathematical physics 0101 mathematics Pro-p group Mathematics |
| Zdroj: | Journal of Algebra Journal of Algebra, Elsevier, 2011, 343 (1), pp.160-172. ⟨10.1016/j.jalgebra.2011.06.012⟩ Journal of Algebra, 2011, 343 (1), pp.160-172. ⟨10.1016/j.jalgebra.2011.06.012⟩ |
| ISSN: | 0021-8693 1090-266X |
| DOI: | 10.1016/j.jalgebra.2011.06.012 |
| Popis: | 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) [4] . Furthermore we classify when a subdirect product has homological type FP m for some m ⩾ 2 , a problem still open for abstract groups for m ⩾ 3 . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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