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Expansion in perfect groups. (Q1934651)

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Language	Label	Description	Also known as
English	Expansion in perfect groups.	scientific article

Statements

scholarly article

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Expansion in perfect groups. (English)

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zbMATH Open document ID

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10.1007/s00039-012-0190-7

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Geometric and Functional Analysis. GAFA

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publication date

29 January 2013

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full work available at URL

https://arxiv.org/abs/1108.4900

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

symmetric generating sets

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Cayley graphs

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expanders

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Alireza Salehi Golsefidy

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Péter Pál Varjú

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MaRDI profile type

MaRDI publication profile

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Semigroups containing proximal linear maps

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Eigenvalues and expanders

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\(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators

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Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).

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Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). I.

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Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). II.

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Sieving and expanders

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Affine linear sieve, expanders, and sum-product

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Generalization of Selberg's \(\frac {3}{16} \) theorem and affine sieve

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Expansion in \(\text{SL}_d(\mathbb Z/q\mathbb Z)\), \(q\) arbitrary.

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Strong uniform expansion in \(\text{SL}(2,p)\).

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Approximate subgroups of linear groups.

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Suzuki groups as expanders.

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Strongly dense free subgroups of semisimple algebraic groups.

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Ramanujan duals. II

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On the equicontinuity region of discrete subgroups of \(PU(1,n)\)

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Poly-log diameter bounds for some families of finite groups

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Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks

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On uniform exponential growth for linear groups.

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Approximate homomorphisms. II: Group homomorphisms

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On the spectral gap for infinite index ``congruence'' subgroups of \(SL_2(\mathbb{Z})\)

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Uniform diameter bounds for some families of Cayley graphs

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Quasirandom Groups

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Some general algorithms. I: Arithmetic groups

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Decision problems concerning <i>S</i>-arithmetic groups

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Small representations are completely reducible

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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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Expander graphs and their applications

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A uniform spectral gap for congruence covers of a hyperbolic manifold

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Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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Symmetric Random Walks on Groups

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Heegaard splittings, the virtually Haken conjecture and property \((\tau)\)

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On the minimal degrees of projective representations of the finite Chevalley groups

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Heegaard genus and property τ for hyperbolic 3-manifolds

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Expander graphs in pure and applied mathematics

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Product decompositions of quasirandom groups and a Jordan type theorem.

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On subgroups of \(GL_ n(F_ p)\)

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Multiplicative independence of algebraic numbers and expressions

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The affine sieve

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Bounds for multiplicities of automorphic representations

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Expanding graphs and invariant means

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Linear algebraic groups.

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Expansion in \(\mathrm{SL}_d(\mathcal O_K/I)\), \(I\) square-free.

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Random Walks on Infinite Graphs and Groups

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Nilpotent groups

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Sitelinks

Mathematics(1 entry)

mardi Publication:1934651

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