Unisingular representations in arithmetic and Lie theory

DOI10.1007/s40879-021-00496-3zbMath1493.11097arXiv2011.04390OpenAlexW3200935460MaRDI QIDQ2667151

John Cullinan, Alexander E. Zalesskij

Publication date: 24 November 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.04390

zbMATH Keywords

abelian varietiesGalois representationstorsion pointsfinite symplectic groupsfinite linear groups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Abelian varieties of dimension (> 1) (11G10) Galois representations (11F80) Representations of finite groups of Lie type (20C33) Other matrix groups over finite fields (20H30)

Related Items

Unisingular representations of finite symplectic groups ⋮ Realizations of unisingular representations by hyperelliptic Jacobians

Uses Software

• GAP
• Magma

Cites Work

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• On the behavior of elements of prime order from Singer cycles in representations of special linear groups.
• Points of small order on three-dimensional abelian varieties; with an appendix by Yuri Zarhin
• On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.
• Galois properties of torsion points on abelian varieties
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• The Magma algebra system. I: The user language
• Representations of the symmetric group are reducible over simply transitive subgroups
• Invariants of maximal tori and unipotent constituents of some quasi-projective characters for finite classical groups
• Singer cycles in 2-modular representations of the group \(\mathrm{GL}_{n+1}(2)\)
• The eigenvalue 1 of matrices of complex representations of finite Chevalley groups
• Fixed-point subgroups of \(\text{GL}_3({q})\)
• Local-global properties of torsion points on three-dimensional abelian varieties
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• On the maximum orders of elements of finite almost simple groups and primitive permutation groups
• Lectures on Chevalley Groups
• A database of genus-2 curves over the rational numbers
• The Steinberg representation
• A computational approach to the 2-torsion structure of abelian threefolds
• Non-Hurwitz Classical Groups
• The Weil-Steinberg character of finite classical groups
• Finite simple unisingular groups of Lie type
• Eléments de Mathématique. Groupes et algèbres de Lie
• Linear groups

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