Group Representations and a Study of M-groups

University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

Author: Max Nilsson; [2020]

Keywords: group theory; character theory; representation theory; M-groups; Mathematics and Statistics;

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.

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