Almost cyclic elements in cross-characteristic representations of finite groups of Lie type (Q2303703)

scientific article; zbMATH DE number 7177055

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English	Almost cyclic elements in cross-characteristic representations of finite groups of Lie type	scientific article; zbMATH DE number 7177055

Statements

instance of

scholarly article

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title

Almost cyclic elements in cross-characteristic representations of finite groups of Lie type (English)

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author

L. Di Martino

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Marco Antonio Pellegrini

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A. Zalesski

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published in

Journal of Group Theory

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publication date

4 March 2020

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full work available at URL

https://arxiv.org/abs/1806.07885

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describes a project that uses

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Groups with a \(p\)-element acting with a single non-trivial Jordan block on a simple module in characteristic \(p\)

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On Generators and Representations of the Sporadic Simple Groups

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Minimum polynomials and lower bounds for eigenvalue multiplicities of prime-power order elements in representations of classical groups

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Unipotent elements in representations of finite groups of Lie type.

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Almost cyclic elements in Weil representations of finite classical groups

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On Regular Orbits of Elements of Classical Groups in Their Permutation Representations

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Weil representations associated to finite fields

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Q4375273

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Commutators in Finite Simple Groups of Lie Type

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On the maximum orders of elements of finite almost simple groups and primitive permutation groups

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Cross characteristic representations of symplectic and unitary groups

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Generation of finite almost simple groups by conjugates.

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Finite Covers, Cohomology and Homogeneous Structures

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Cross characteristic representations of even characteristic symplectic groups

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On \(p\)-stability in groups and fusion systems

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Low-dimensional representations of special unitary groups

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Cross characteristic projective representations for some classical groups

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Q4839675

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Large element orders and the characteristic of Lie-type simple groups.

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The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups

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Q3996618

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On the Blocks of GL(n, q). I

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Irreducible groups generated by transvections over finite fields of characteristic two

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Q4930353

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Unipotent elements of nonprime order in representations of classical groups: two large Jordan blocks.

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\(A_ 1\)-type overgroups of elements of order \(p\) in semisimple algebraic groups and the associated finite groups

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Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block

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Mod <i>p</i> Reducibility of Unramified Representations of Finite Groups of Lie Type

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On finite groups isospectral to simple classical groups.

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Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2. I

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Determination of the finite primitive reflection groups over an arbitrary field of characteristic not two. II

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Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2. III

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Representations of symplectic groups

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Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p

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Minimum polynomials of the elements of prime order in representations of quasi-simple groups.

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Q4100286

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Q3901700

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Recognition of simple groups U 3(Q) by element orders

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Identifiers

Mathematics Subject Classification ID

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10.1515/JGTH-2018-0162

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Sitelinks

Mathematics(1 entry)

mardi Publication:2303703