On irreducibility of induced modules and an adaptation of the Wigner--Mackey method of little groups

Details On irreducibility of induced modules and an adaptation of the Wigner--Mackey method of little groups On irreducibility of induced modules and an adaptation of the Wigner--Mackey method of little groups

2009-08-03

arxiv.org/abs/0908.0026v1

Mathematics

Group Theory

12 pages, No figures

Scientific paper

This paper deals with sufficiency conditions for irreducibility of certain induced modules. We also construct irreducible representations for a group $G$ over a field ${\mathbb K}$ where the group $G$ is a semidirect product of a normal abelian subgroup $N$ and a subgroup $H$. The main results are proved with the assumption that ${\rm char} {\mathbb K}$ does not divide $|G|$ but there is no assumption made of ${\mathbb K}$ being algebraically closed.

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