On the maximal number of elements pairwise generating the finite alternating group
From MaRDI portal
Publication:6126166
DOI10.1016/j.jcta.2024.105870arXiv2206.11388OpenAlexW4391830396MaRDI QIDQ6126166
Pietro Gheri, Martino Garonzi, Francesco Fumagalli
Publication date: 9 April 2024
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.11388
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Subgroups of symmetric groups (20B35)
Cites Work
- Unnamed Item
- Finite primitive permutation groups containing a permutation having at most four cycles
- Affine transformations of finite vector spaces with large orders or few cycles.
- Sets of permutations that generate the symmetric group pairwise.
- Covering the symmetric groups with proper subgroups.
- On the orders of primitive groups
- On the maximal number of elements pairwise generating the symmetric group of even degree
- Sets of elements that pairwise generate a linear group
- On the covering number of symmetric groups having degree divisible by six.
- A Note on Vertex List Colouring
- On the clique number of the generating graph of a finite group
- Cyclic regular subgroups of primitive permutation groups
This page was built for publication: On the maximal number of elements pairwise generating the finite alternating group