Subgroups Of Direct Products Of Elementarily Free Groups
نویسندگان
چکیده
منابع مشابه
2 3 Ju n 20 05 Subgroups of direct products of elementarily free groups
We exploit Zlil Sela’s description of the structure of groups having the same elementary theory as free groups: they and their finitely generated subgroups form a prescribed subclass E of the hyperbolic limit groups. We prove that if G1, . . . , Gn are in E then a subgroup Γ ⊂ G1 × · · · × Gn is of type FPn if and only if Γ is itself, up to finite index, the direct product of at most n groups f...
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If Γ1, . . . ,Γn are limit groups and S ⊂ Γ1 × · · · × Γn is of type FPn(Q) then S contains a subgroup of finite index that is itself a direct product of at most n limit groups. This answers a question of Sela.
متن کاملRecognition of Subgroups of Direct Products of Hyperbolic Groups
We give examples of direct products of three hyperbolic groups in which there cannot exist an algorithm to decide which finitely presented subgroups are isomorphic. In [1] Baumslag, Short and the present authors constructed an example of a biautomatic group G in which there is no algorithm that decides isomorphism among the finitely presented subgroups of G. The group G was a direct product of ...
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We determine all the ways in which a direct product of two finite groups can be expressed as the set-theoretical union of proper subgroups in a family of minimal cardinality. Mathematics Subject Classification (2000). 20D60.
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A subgroup of a product of n surface groups is of type FPn if and only if it contains a subgroup of finite index that is itself a product of (at most n) surface groups.
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ژورنال
عنوان ژورنال: GAFA Geometric And Functional Analysis
سال: 2007
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-007-0600-4