Advanced

The Mathieu groups

Taslaman, Leo (2009) MATM01 20091
Mathematics (Faculty of Sciences)
Abstract
In the 19th century E. Mathieu discovered and studied five multiply transitive permutation groups. The grops 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 classied. It is also shown that the other Mathieu groups are subgroups of M24. Finally the simplicity of the five Mathieu groups is proved.
Please use this url to cite or link to this publication:
author
Taslaman, Leo
supervisor
organization
course
MATM01 20091
year
type
H2 - Master's Degree (Two Years)
subject
report number
LUNFMA-3056-2009
language
English
id
2517877
date added to LUP
2012-07-10 14:09:08
date last changed
2012-07-10 14:09:08
@misc{2517877,
  abstract     = {In the 19th century E. Mathieu discovered and studied five multiply transitive permutation groups. The grops 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 classied. It is also shown that the other Mathieu groups are subgroups of M24. Finally the simplicity of the five Mathieu groups is proved.},
  author       = {Taslaman, Leo},
  language     = {eng},
  note         = {Student Paper},
  title        = {The Mathieu groups},
  year         = {2009},
}