Mathematical Sciences

Lund University

  • Title: The Mathieu groups
  • Description: In the 19th century E. Mathieu discovered and studied five multiply transitive permutation groups. The groups are called the Mathieu groups and it turned out that all five are simple. In this thesis these remarkable groups are constructed, with special focus on the largest Mathieu group M24. All maximal subgroups of M24 will be described and classified. It is also shown that the other Mathieu groups are subgroups of M24. Finally the simplicity of the five Mathieu groups is proved.
  • Start Date: June 5, 2009
  • Finished Date: June 5, 2009
  • Supervisor: Arne Meurman
  • Student: Leo Taslaman
  • Report (499.4 KB)
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