Some supercharacter theories of a certain group of order $6n$

Armioun, Elham

doi:10.22103/jmmr.2023.22138.1505

Some supercharacter theories of a certain group of order $6n$

Document Type : Research Paper

Author

Elham Armioun

Department of Mathematics and Computer Science, Kharazmi University, Tehran, Iran

10.22103/jmmr.2023.22138.1505

Abstract

In this paper, we are going to obtain some normal supercharacter theories of a group of order $6n$ with the presentation $ U_{6n} = <a, b: a^{2n} = b^{3 } = 1, a^{-1}ba = b^{-1}>$ in special cases. We will also prove that the automorphic supercharacter theories of this group can be computed with the other methods.

Keywords

Character theory

Supercharacter

Lattice of normal subgroups

Subjects

Algebra

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