CHARACTER LEVELS AND CHARACTER BOUNDS

DOI10.1017/fmp.2019.9zbMath1481.20039arXiv1708.03844OpenAlexW3098941416WikidataQ126289188 ScholiaQ126289188MaRDI QIDQ5212229

Robert M. Guralnick, Pham Hũ'u Tiêp, Michael J. Larsen

Publication date: 27 January 2020

Published in: Forum of Mathematics, Pi (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03844

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite groups of Lie type (20C33) Probabilistic methods in group theory (20P05)

Related Items (14)

Products of derangements in simple permutation groups ⋮ Covering and growth for group subsets and representations ⋮ Character estimates for finite simple groups and applications ⋮ Products of normal subsets ⋮ Character levels and character bounds for finite classical groups ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023 ⋮ Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture ⋮ On the singular value decomposition over finite fields and orbits of \(\mathrm{GU} \times \mathrm{GU} \) ⋮ Probabilistic Waring problems for finite simple groups ⋮ A generalization of the diameter bound of Liebeck and Shalev for finite simple groups ⋮ CHARACTER LEVELS AND CHARACTER BOUNDS ⋮ Babai's conjecture for high-rank classical groups with random generators ⋮ Rank and duality in representation theory ⋮ Double coset Markov chains

Cites Work

• Unnamed Item
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• On the similarity transformation between a matrix and its transpose
• Rank and duality in representation theory
• On the characteristic map of finite unitary groups.
• Weil representations of finite general linear groups and finite special linear groups
• Representations of finite special linear groups in non-defining characteristic.
• Invariance of simultaneous similarity and equivalence of matrices under extension of the ground field
• The Ore conjecture.
• Generalized Gelfand-Graev representations of exceptional simple algebraic groups over a finite field. I
• Foncteurs de Lusztig et caractères des groupes linéaires et unitaires sur un corps fini. (Lusztig functors and characters of linear and unitary groups over a finite field)
• Remarks on symbols, hooks and degrees of unipotent characters
• Weil representations associated to finite fields
• Weil representations of finite classical groups
• On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes
• Some generalizations of the Weil representations of the symplectic and unitary groups
• Character bounds for finite groups of Lie type
• Enumeration of commuting pairs in Lie algebras over finite fields
• Small representations of finite classical groups
• The blocks of finite general linear and unitary groups
• Cross characteristic representations of symplectic and unitary groups
• Unipotent degrees of imprimitive complex reflection groups
• Products of conjugacy classes in groups
• Probabilistic Waring problems for finite simple groups
• Sur certains groupes d'opérateurs unitaires
• Quantum linear groups and representations of 𝐺𝐿_{𝑛}(𝐹_{𝑞})
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Representations of the general linear groups which are irreducible over subgroups
• The Irreducible Representations of the Finite General Linear Groups
• Generating a random permutation with random transpositions
• Group Representations and Lattices
• qqq-Newton Binomial: From Euler To Gauss
• Restriction of Odd Degree Characters and Natural Correspondences
• Character degrees and random walks in finite groups of Lie type
• On the existence of a unipotent support for the irreducible characters of a finite group of Lie type
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Cross characteristic representations of even characteristic symplectic groups
• The largest irreducible representations of simple groups
• Lusztig induction, unipotent supports, and character bounds
• CHARACTER LEVELS AND CHARACTER BOUNDS
• Some conjectures on Frobenius' character sum
• Products of squares in finite simple groups
• On the Character of Weil's Representation
• The Modular Representation Ring of a Cyclic p -Group

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