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- Title
The covering number of M<sub>24</sub>.
- Authors
Epstein, Michael; Magliveras, Spyros S.
- Abstract
A finite cover C of a group G is a finite collection of proper subgroups of G such that G is equal to the union of all of the members of C. Such a cover is called minimal if it has the smallest cardinality among all finite covers of G. The covering number of G, denoted by σ(G), is the number of subgroups in a minimal cover of G. In this paper the covering number of the Mathieu group M24 is shown to be 3336.
- Subjects
NUMBER theory; GROUP theory; MATHIEU groups; CARDINAL numbers; MATHEMATICAL analysis
- Publication
Journal of Algebra Combinatorics Discrete Structures & Applications, 2017, Vol 4, Issue 3, p155
- ISSN
2148-838X
- Publication type
Article
- DOI
10.13069/jacodesmath.90728