On irreducibility of induced modules and an adaptation of the Wigner--Mackey method of little groups
| Autor: | Geetha Venkataraman |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
Pure mathematics
Finite group Semidirect product Group (mathematics) General Mathematics Group Theory (math.GR) 20D 20C Base (group theory) Mathematics::Group Theory FOS: Mathematics Irreducibility Representation Theory (math.RT) Abelian group Algebraically closed field Mathematics - Group Theory Mathematics - Representation Theory Mathematics |
| Popis: | 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. 12 pages, No figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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