• Title of article

    The covering number of M24

  • Author/Authors

    epstein, michael florida atlantic university - department of mathematical sciences, USA , magliveras, spyros s. florida atlantic university - department of mathematical sciences, USA

  • From page
    155
  • To page
    158
  • 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.
  • Keywords
    Group theory , Group coverings , Finite simple groups
  • Journal title
    Journal Of Algebra Combinatorics Discrete Structures an‎d Applications
  • Journal title
    Journal Of Algebra Combinatorics Discrete Structures an‎d Applications
  • Record number

    2650156

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2650156