The Mathieu groups
(2009) MATM01 20091Mathematics (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:
http://lup.lub.lu.se/student-papers/record/2517877
- author
- Taslaman, Leo
- supervisor
-
- Arne Meurman LU
- organization
- course
- MATM01 20091
- year
- 2009
- 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}},
}