Ranks of subgroups in boundedly generated groups
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Publication:2812008
DOI10.1112/blms/bdw023zbMath1350.20025arXiv1510.05904OpenAlexW3098759172MaRDI QIDQ2812008
Publication date: 10 June 2016
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.05904
subgroups of finite indexprofinite groupsboundedly generated groupsrank of subgroupsB. H. Neumann lemma
Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05)
Related Items (3)
Ascending chains of finitely generated subgroups ⋮ On representations of direct products and the bounded generation property of branch groups ⋮ Schreier’s formula for prosupersolvable groups
Cites Work
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- The rank gradient and the lamplighter group.
- A characterisation of large finitely presented groups.
- The rank gradient from a combinatorial viewpoint.
- Rank gradient, cost of groups and the rank versus Heegaard genus problem
- Bounded generation of \(S\)-arithmetic subgroups of isotropic orthogonal groups over number fields.
- Bounded generation of wreath products.
- Symplectic groups over rings of algebraic numbers have finite width over the elementary matrices
- On a question of M. Newman on the number of commutators
- On the word length of commutators in \(\text{GL}_n(R)\)
- Rank, combinatorial cost, and homology torsion growth in higher rank lattices
- Expanders, rank and graphs of groups
- Topics in orbit equivalence
- Subgroup growth and congruence subgroups
- Cost of equivalence relations and groups
- Rank gradient in co-final towers of certain Kleinian groups
- Rank gradient and cost of Artin groups and their relatives.
- The combinatoral cost
- Generations for arithmetic groups.
- Bounded generation of some -arithmetic orthogonal groups
- A -group with positive rank gradient
- On the lattice of subgroups of the lamplighter group
- Bounded Elementary Generation of SL n (O)
- BOUNDED GENERATION AND LINEAR GROUPS
- Rank gradient and torsion groups
- Rank Gradient andp-gradient of Amalgamated Free Products and HNN Extensions
- Elementary expressions for unimodular matrices
- Majoration explicite de l'ordre maximum d'un élément du groupe symétrique
- ON BOUNDED GENERATION OF SLn(Z)
- Generators For All Principal Congruence Subgroups of SL(n, Z) with n ≥3
- Bounded generation does not imply finite presentation
- On the decomposition of automorphisms of free modules into simple factors
- DIAGRAMS WITH SELECTION AND METHOD FOR CONSTRUCTING BOUNDEDLY GENERATED AND BOUNDEDLY SIMPLE GROUPS
- Small Subgroups of
- Groups Covered By Permutable Subsets
- Bounded generation and Kazhdan's property (T)
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