On the probability of generating invariably a finite simple group
From MaRDI portal
Publication:2689173
DOI10.1016/j.jpaa.2022.107284OpenAlexW3047676064MaRDI QIDQ2689173
Daniele Garzoni, Eilidh McKemmie
Publication date: 9 March 2023
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.03812
Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariable generation and the Chebotarev invariant of a finite group.
- Representation growth in positive characteristic and conjugacy classes of maximal subgroups.
- On the maximal subgroups of the finite classical groups
- The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
- Generation of exceptional groups of Lie-type
- Random sets which invariably generate the symmetric group
- Interrelations of symplectic and orthogonal groups in characteristic two
- The action of \(F_4(q)\) on cosets of \(B_4(q)\)
- Random generation of finite simple groups
- A theorem on random matrices and some applications
- Probabilistic generation of finite simple groups
- Invariable generation of the symmetric group
- Invariable generation of finite classical groups
- The invariably generating graph of the alternating and symmetric groups
- An upper bound on the Chebotarev invariant of a finite group
- On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function.
- A characterization of the groups \(F_ 4(2^ n)\)
- Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I
- Permutations contained in transitive subgroups
- Four random permutations conjugated by an adversary generateSnwith high probability
- The Chebotarev Invariant of a Finite Group
- Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
- Simple groups admit Beauville structures
- Derangements in subspace actions of finite classical groups
- Products of conjugacy classes and fixed point spaces
- The Finite Simple Groups
- The Maximal Tori in The Finite Chevalley Groups of Type E6E7And E8
- Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
- Centralizers of Semisimple Elements in Finite Groups of Lie Type
- Simple groups, permutation groups, and probability
- The probability of generating a classical group
- On Random Generation of the Symmetric Group
- Permutations Fixing ak-set
- Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston–Shalev conjecture
- The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina
- On the uniform domination number of a finite simple group
- A generating function approach to the enumeration of matrices in classical groups over finite fields
- On the subgroup structure of classical groups
This page was built for publication: On the probability of generating invariably a finite simple group