Group Representations and a Study of M-groups
(2020) In Bachelor's Theses in Mathematical Sciences MATK11 20201Mathematics (Faculty of Engineering)
Mathematics (Faculty of Sciences)
- Abstract
- In this thesis we introduce some basic concepts in representation theory such as Schur’s Lemma, induced representations and M-groups. These concepts are then used in particular on a group G_96 of order 96, in order to determine its irreducible representations and its character table. Furthermore, we show that G_96 is an M-group and contains a subgroup which is not an M-group itself.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9013136
- author
- Nilsson, Max LU
- supervisor
-
- Arne Meurman LU
- organization
- course
- MATK11 20201
- year
- 2020
- type
- M2 - Bachelor Degree
- subject
- keywords
- group theory, character theory, representation theory, M-groups
- publication/series
- Bachelor's Theses in Mathematical Sciences
- report number
- LUNFMA-4096-2020
- ISSN
- 1654-6229
- other publication id
- 2020:K8
- language
- English
- id
- 9013136
- date added to LUP
- 2020-07-07 14:43:50
- date last changed
- 2020-07-07 14:43:50
@misc{9013136, abstract = {{In this thesis we introduce some basic concepts in representation theory such as Schur’s Lemma, induced representations and M-groups. These concepts are then used in particular on a group G_96 of order 96, in order to determine its irreducible representations and its character table. Furthermore, we show that G_96 is an M-group and contains a subgroup which is not an M-group itself.}}, author = {{Nilsson, Max}}, issn = {{1654-6229}}, language = {{eng}}, note = {{Student Paper}}, series = {{Bachelor's Theses in Mathematical Sciences}}, title = {{Group Representations and a Study of M-groups}}, year = {{2020}}, }