Subgroups of direct products of two limit groups

Autor: James Howie, Martin R. Bridson, Hamish Short, Charles F. Miller

Publikováno v: Annals of Mathematics
Annals of Mathematics, 2007, 170 (3), pp.1446-1467. ⟨10.4007/annals.2009.170.1447⟩
Annals of Mathematics, Princeton University, Department of Mathematics, 2007, 170 (3), pp.1446-1467. ⟨10.4007/annals.2009.170.1447⟩

If $G_1,...,G_n$ are limit groups and $S\subset G_1\times...\times G_n$ is of type $\FP_n(\mathbb Q)$ then $S$ contains a subgroup of finite index that is itself a direct product of at most $n$ limit groups. This settles a question of Sela.
20 p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e20ad93ebdfa645095acd2e5f554103
https://ora.ox.ac.uk/objects/uuid:0dbaac71-3170-46f6-894f-dd48d785901c

Finitely presented subgroups of automatic groups and their isoperimetric functions

Autor: Hamish Short, Gilbert Baumslag, Charles F. Miller, Martin R. Bridson

We describe a general technique for embedding certain amalgamated products into direct products. This technique provides us with a way of constructing a host of finitely presented subgroups of automatic groups which are not even asynchronously automa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fab7a7918836eb20ba050d42eb1c19c
https://ora.ox.ac.uk/objects/uuid:1d1ec4e1-6559-4453-a96c-cc365944d103

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

Autor: Hamish Short, Dessislava H. Kochloukova

Publikováno v: 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⟩

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 ,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5efa6f79307291f5c644d8e77a8b76ed

The homeomorphism problem for closed 3-manifolds

Autor: Hamish Short, Peter Scott

Publikováno v: Algebraic and Geometric Topology
Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2014, 14 (4), pp.2431-2444. ⟨10.2140/agt.2014.14:2431⟩
Algebraic and Geometric Topology, 2014, 14 (4), pp.2431-2444. ⟨10.2140/agt.2014.14:2431⟩
Algebr. Geom. Topol. 14, no. 4 (2014), 2431-2444

We give a more geometric approach to an algorithm for deciding whether two hyperbolic 3-manifolds are homeomorphic. We also give a more algebraic approach to the homeomorphism problem for geometric, but non-hyperbolic, 3-manifolds.
Comment: firs

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3780ecca63c90f0c5a486dab20cd3d3d
https://hal.archives-ouvertes.fr/hal-00821452

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

Publikováno v: 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⟩

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20f73acf1b1037c746ace1818eaa6fc7
https://hal.archives-ouvertes.fr/hal-00821482