Mini-workshop: Growth and expansion in groups. Abstracts from the mini-workshop held April 7--12, 2024 (Q6671614)

scientific article; zbMATH DE number 7975099

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English	Mini-workshop: Growth and expansion in groups. Abstracts from the mini-workshop held April 7--12, 2024	scientific article; zbMATH DE number 7975099

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instance of

scholarly article

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title

Mini-workshop: Growth and expansion in groups. Abstracts from the mini-workshop held April 7--12, 2024 (English)

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published in

Oberwolfach Reports

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publication date

27 January 2025

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Character bounds for finite groups of Lie type

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Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients

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Babai's conjecture for high-rank classical groups with random generators

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On the diameter of Cayley graphs of classical groups with generating sets containing a transvection

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CHARACTER LEVELS AND CHARACTER BOUNDS

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Character levels and character bounds for finite classical groups

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Diameter of Cayley graphs of $\mathrm{SL}(n,p)$ with generating sets containing a transvection

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Growth in Linear Algebraic Groups and Permutation Groups: Towards a Unified Perspective

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On the diameter of permutation groups.

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Random generators of the symmetric group: diameter, mixing time and spectral gap.

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Universal lattices and unbounded rank expanders.

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Characters of symmetric groups: sharp bounds and applications.

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Sofic boundaries of groups and coarse geometry of sofic approximations

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Q4437801

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Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture

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Random graphs, weak coarse embeddings, and higher index theory

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Geometric property (T)

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Combinatorial cost: A coarse setting

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Topological stability and pseudo-orbit tracing property of group actions

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Symbolic dynamics and hyperbolic groups

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Shifts of finite type as fundamental objects in the theory of shadowing

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Shadowing and mixing on systems of countable group actions

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Stability for hyperbolic groups acting on boundary spheres

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Pseudo-orbit tracing and algebraic actions of countable amenable groups

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Shadowing for actions of some finitely generated groups

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Q4188476

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Bounds on the diameter of Cayley graphs of the symmetric group

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The action of a few random permutations on r-tuples and an application to cryptography

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Applications of character estimates to statistical problems for symmetric group

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Hilbert’s Irreducibility Theorem via Random Walks

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Rational fixed points for linear group actions

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On the distribution of rational points on ramified covers of abelian varieties

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On the Hilbert property and the fundamental group of algebraic varieties

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On the irreducibility of the polynomials $P(t^ m,Y)$

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Splitting fields of characteristic polynomials of random elements in arithmetic groups

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On Hilbert’s irreducibility theorem for linear algebraic groups

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Sieve methods in group theory I: Powers in linear groups

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The Galois group of random elements of linear groups

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Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms

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Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.

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Hilbert irreducibility above algebraic groups

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New Dimensional Estimates for Subvarieties of Linear Algebraic Groups

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On property (T) for $\Aut(F_n)$ and $\mathrm{SL}_n(\mathbb{Z})$

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$\Aut(\mathbb{F}_5)$ has property $(T)$

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Kazhdan’s Property (T) via Semidefinite Optimization

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NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T)

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Nilprogressions and groups with moderate growth

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Enumeration and random walks on finite groups

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The action of a few permutations onr-tuples is quickly transitive

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Every connected regular graph of even degree is a Schreier coset graph

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On random random walks

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Random Schreier graphs and expanders

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INFINITE PERIODIC GROUPS. I

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Simple sharply 2-transitive groups

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A sharply 2-transitive group without a non-trivial abelian normal subgroup

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Sharply 2-transitive groups of characteristic 0

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Sharply 3-transitive groups.

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Infinite sharply multiply transitive groups.

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Products of conjugacy classes in groups

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On the conjectures of J. Thompson and O. Ore

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On the number of rim hook tableaux

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Sharper character value estimates for groups of Lie type

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Base Sizes and Regular Orbits for Coprime Affine Permutation Groups

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Surjective word maps and Burnside's $p^aq^b$ theorem

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A problem of Kollár and Larsen on finite linear groups and crepant resolutions

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The Waring problem for finite simple groups.

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Probabilistic Waring problems for finite simple groups

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The Ore conjecture.

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Commutators in finite quasisimple groups

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Diameters of finite simple groups: sharp bounds and applications

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Character ratios, representation varieties and random generation of finite groups of Lie type

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On the diameters of McKay graphs for finite simple groups

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McKay graphs for alternating and classical groups

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Q4841310

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Conjugacy classes, growth and complexity

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Lusztig induction, unipotent supports, and character bounds

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Random subgroups of linear groups are free.

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Almost commuting permutations are near commuting permutations

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Linear sofic groups and algebras

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Sidon sets in groups and induced subgraphs of Cayley graphs

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Thin monodromy in Sp(4)

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Almost commuting matrices with respect to the rank metric

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Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions.

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Generic Thinness in Finitely Generated Subgroups of SL$_n(\mathbb Z)$

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Symmetric groups and expander graphs.

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WHAT IS...a Thin Group?

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Divisibility and laws in finite simple groups.

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A reinforcement of property (T)

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On Power Subgroups of Profinite Groups

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Nonlinear spectral calculus and super-expanders

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Arithmeticity of certain symplectic hypergeometric groups

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Identifiers

DOI

10.4171/owr/2024/17

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6671614