On the covering number of small symmetric groups and some sporadic simple groups.
From MaRDI portal
Publication:338837
DOI10.1515/gcc-2016-0010zbMath1352.20021arXiv1409.2292OpenAlexW2962825189MaRDI QIDQ338837
Eric Swartz, Daniela Nikolova-Popova, Luise-Charlotte Kappe
Publication date: 7 November 2016
Published in: Groups, Complexity, Cryptology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.2292
symmetric groupssporadic simple groupsnumbers of subgroupsunions of subgroupscovering numberscovers of groups
Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Subgroups of symmetric groups (20B35)
Related Items
On the covering number of symmetric groups having degree divisible by six., On the covering number of \(S_{14}\), On Integers that are Covering Numbers of Groups, Unnamed Item, On the primary coverings of finite solvable and symmetric groups, On the maximal number of elements pairwise generating the symmetric group of even degree
Uses Software
Cites Work
- Sets of permutations that generate the symmetric group pairwise.
- Pairwise generating and covering sporadic simple groups.
- Covering the symmetric groups with proper subgroups.
- Sets of elements that pairwise generate a linear group
- The symmetric group of degree six can be covered by 13 and no fewer proper subgroups.
- Subgroup coverings of some sporadic groups.
- On the covering number of symmetric groups having degree divisible by six.
- Su alcuni gruppi finiti che sono somma di cinque sottogruppi
- Groups as Unions of Proper Subgroups
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- Groups as the union of proper subgroups.
- Subgroup coverings of some linear groups
- On $n$-Sum Groups.
- Groups Which are the Union of Three Subgroups
- Groups Covered By Permutable Subsets
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
