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Group Representations and a Study of M-groups

Nilsson, Max LU (2020) In Bachelor's Theses in Mathematical Sciences MATK11 20201
Mathematics (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:
author
Nilsson, Max LU
supervisor
organization
course
MATK11 20201
year
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}},
}