On the finite presentation of subdirect products and the nature of residually free groups
| Autor: | Martin R. Bridson, Charles F. Miller, James Howie, Hamish Short |
|---|---|
| Přispěvatelé: | Mathematical Institute [Oxford] (MI), University of Oxford [Oxford], 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), University of Oxford, Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU) |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
General Mathematics
Conjugacy problem 010102 general mathematics 20F65 20E08 20F67 Mathematics::General Topology Group Theory (math.GR) Type (model theory) 01 natural sciences [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] Surjective function Combinatorics Mathematics::Group Theory Conjugacy class Recursively enumerable language 0103 physical sciences Free group FOS: Mathematics Generating set of a group 010307 mathematical physics 0101 mathematics Mathematics - Group Theory Direct product Mathematics |
| Zdroj: | American Journal of Mathematics American Journal of Mathematics, Johns Hopkins University Press, 2013, 135 (4), pp.891-933. ⟨10.1353/ajm.2013.0036⟩ American Journal of Mathematics, 2013, 135 (4), pp.891-933. ⟨10.1353/ajm.2013.0036⟩ |
| ISSN: | 0002-9327 1080-6377 |
| Popis: | We establish {\em{virtual surjection to pairs}} (VSP) as a general criterion for the finite presentability of subdirect products of groups: if $\Gamma_1,...,\Gamma_n$ are finitely presented and $S Comment: 44 pages. To appear in American Journal of Mathematics. This is a substantial rewrite of our previous Arxiv article 0809.3704, taking into account subsequent developments, advice of colleagues and referee's comments |
| Databáze: | OpenAIRE |
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