On the probability of generating invariably a finite simple group (Q2689173)

scientific article; zbMATH DE number 7661180

Language	Label	Description	Also known as
English	On the probability of generating invariably a finite simple group	scientific article; zbMATH DE number 7661180

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instance of

scholarly article

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title

On the probability of generating invariably a finite simple group (English)

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Journal of Pure and Applied Algebra

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publication date

9 March 2023

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full work available at URL

https://arxiv.org/abs/2008.03812

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MaRDI profile type

Publication

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cites work

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Random sets which invariably generate the symmetric group

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Interrelations of symplectic and orthogonal groups in characteristic two

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Invariable generation of the symmetric group

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Permutations contained in transitive subgroups

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Q4426039

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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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Derangements in subspace actions of finite classical groups

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Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston–Shalev conjecture

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A generating function approach to the enumeration of matrices in classical groups over finite fields

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The invariably generating graph of the alternating and symmetric groups

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The probability of generating a classical group

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Representation growth in positive characteristic and conjugacy classes of maximal subgroups.

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Random generation of finite simple groups

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On \(p\)-singular elements in Chevalley groups in characteristic \(p\)

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Simple groups admit Beauville structures

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Q3952291

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Invariable generation and the Chebotarev invariant of a finite group.

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Q3996618

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The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups

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The Chebotarev Invariant of a Finite Group

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The action of \(F_4(q)\) on cosets of \(B_4(q)\)

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On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function.

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Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type

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Simple groups, permutation groups, and probability

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An upper bound on the Chebotarev invariant of a finite group

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On Random Generation of the Symmetric Group

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Q3077960

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Invariable generation of finite classical groups

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Four random permutations conjugated by an adversary generate \(\mathcal{S}_{n}\) with high probability

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A theorem on random matrices and some applications

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Q3926778

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Generation of exceptional groups of Lie-type

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The Finite Simple Groups

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JPAA.2022.107284

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Sitelinks

Mathematics(1 entry)

mardi Publication:2689173