Subgroups of direct products of limit groups

By Martin R. Bridson, James Howie, Charles F. Miller, H. Short. 2007

70 citations recorded by the source corpus.

If Ti,..., Tn are limit groups and S C T\ x x Tn is of type FP? (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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/dcdfe54c5b3ef03f98be9b14748696545f4568e5

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In Discrete Mathematics and Combinatorics

1. Charles F. Miller
2. Martin R. Bridson

In Geometry and Topology

1. Martin R. Bridson
2. Charles F. Miller
3. James Howie
4. H. Short

In Mathematical Physics

1. Martin R. Bridson
2. Charles F. Miller
3. James Howie
4. H. Short

Citations in the corpus

• Structure and finiteness properties of subdirect products of groups (2007, result): “Remark 5.7. Subsequent to our work, Bridson and Wilton [13] used results from [ 10 ] to prove that in the profinite topology on any finitely generated residually free group, all finitely presented subgroups are closed.”
• Krull dimension of solvable groups (2008, unknown): “G R ] 2 1 Contents”
• On the finite presentation of subdirect products and the nature of residually free groups (2012, methodology): “Using the results of [15] and [11], Chagas and Zalesski [18] proved that all finitely presented residually free groups are conjugacy separable.”