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Conjugacy classes, growth and complexity (Q5138287)

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scientific article; zbMATH DE number 7281735

Language	Label	Description	Also known as
English	Conjugacy classes, growth and complexity	scientific article; zbMATH DE number 7281735

Statements

scholarly article

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Conjugacy classes, growth and complexity (English)

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Finite Simple Groups: Thirty Years of the Atlas and Beyond

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publication date

3 December 2020

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/conm/694/13975

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Products of conjugacy classes in groups

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Approximate subgroups of linear groups.

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Generating a random permutation with random transpositions

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On the conjectures of J. Thompson and O. Ore

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Covering numbers for Chevalley groups

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The complexity of promise problems with applications to public-key cryptography

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On the number of rim hook tableaux

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Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements

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On the product decomposition conjecture for finite simple groups

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Characters and random walks on finite classical groups

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Quasirandom Groups

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The communication complexity of interleaved group products

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Products of conjugacy classes and fixed point spaces

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Effective results on the Waring problem for finite simple groups

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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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Generating random elements in \(SL_ n(F_ q)\) by random transvections

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Stable group theory and approximate subgroups

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Characters of symmetric groups: sharp bounds and applications.

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The Waring problem for finite simple groups.

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On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class

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A conjecture on product decompositions in simple groups.

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Product decompositions in finite simple groups

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The Ore conjecture.

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Simple groups, permutation groups, and probability

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Diameters of finite simple groups: sharp bounds and applications

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Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks.

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Fuchsian groups, finite simple groups and representation varieties.

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Character degrees and random walks in finite groups of Lie type

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Rapid growth in finite simple groups

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Rapidly mixing random walks and bounds on characters of the symmetric group

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Shielding circuits with groups

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Character theory of symmetric groups, subgroup growth of Fuchsian groups, and random walks.

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Growth in finite simple groups of Lie type

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Mixing and generation in simple groups.

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Word maps, conjugacy classes, and a noncommutative Waring-type theorem.

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Mixing, Communication Complexity and Conjectures of Gowers and Viola

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Mixing and covering in the symmetric groups

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Identifiers

zbMATH Open document ID

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10.1090/conm/694/13975

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5138287

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