On the width of transitive sets: bounds on matrix coefficients of finite groups

DOI10.1215/00127094-2019-0074zbMath1481.20047arXiv1802.01904OpenAlexW3098861731MaRDI QIDQ2178451

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Publication date: 11 May 2020

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01904

zbMATH Keywords

widthunitary groupprimitivetransitiveclassification of finite simple groupssymmetric probability measure

Mathematics Subject Classification ID

Simple groups: alternating groups and groups of Lie type (20D06) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (3)

A diameter gap for quotients of the unit sphere ⋮ The cylindrical width of transitive sets ⋮ A universal gap for non-spin quantum control systems

Cites Work

• On the maximal subgroups of the finite classical groups
• Diameters of 3-sphere quotients
• On the minimal degrees of projective representations of the finite Chevalley groups
• On primitive linear representations of finite groups
• Small-dimensional projective representations of symmetric and alternating groups.
• Bounds for finite primitive complex linear groups.
• Diameters of spherical Alexandrov spaces and curvature one orbifolds
• On Jordan's theorem for complex linear groups
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