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Approximate subgroups of residually nilpotent groups - MaRDI portal

Approximate subgroups of residually nilpotent groups (Q2423422)

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Language	Label	Description	Also known as
English	Approximate subgroups of residually nilpotent groups	scientific article

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scholarly article

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Approximate subgroups of residually nilpotent groups (English)

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Matthew C. H. Tointon

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Mathematische Annalen

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publication date

21 June 2019

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full work available at URL

https://arxiv.org/abs/1509.03876

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MaRDI profile type

MaRDI publication profile

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On uniform exponential growth for solvable groups.

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A height gap theorem for finite subsets of \(\mathrm{GL}_{d}(\overline{\mathbb{Q}})\) and nonamenable subgroups

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A topological Tits alternative.

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Uniform independence in linear groups.

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Approximate groups. I The torsion-free nilpotent case

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APPROXIMATE GROUPS, II: THE SOLVABLE LINEAR CASE

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Approximate groups, III: the unitary case

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Approximate subgroups of linear groups.

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The structure of approximate groups.

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A nilpotent Freiman dimension lemma

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Small Doubling in Groups

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Nilprogressions and groups with moderate growth

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Growth in solvable subgroups of \(\mathrm{GL}_r(\mathbb Z/p\mathbb Z)\).

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Compact Subgroups

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Approximate algebraic structure

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Freiman's theorem in an arbitrary abelian group

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ON THE HILBERT-POINCARÉ SERIES OF GRADED ALGEBRAS ASSOCIATED WITH GROUPS

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On the Gap Conjecture concerning group growth

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Groups of polynomial growth and expanding maps. Appendix by Jacques Tits

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On a result of Schur

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Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).

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Growth in \(\mathrm{SL}_3(\mathbb Z/p\mathbb Z)\).

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Growth in groups: ideas and perspectives

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Stable group theory and approximate subgroups

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On groups of polynomial subgroup growth

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Subgroup growth.

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Growth in finite simple groups of Lie type

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Generalized arithmetical progressions and sumsets

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On the Bogolyubov-Ruzsa lemma

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The structure theory of set addition revisited

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Near optimal bounds in Freiman's theorem

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A finitary version of Gromov's polynomial growth theorem.

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Freiman's theorem for solvable groups

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Product set estimates for non-commutative groups

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Properness of nilprogressions and the persistence of polynomial growth of given degree

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Freiman's theorem in an arbitrary nilpotent group

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Groups of Automorphisms of Soluble Groups

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Identifiers

zbMATH Open document ID

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10.1007/s00208-018-01795-z

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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