[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2013.50.6.1213

ON IRREDUCIBILITY OF INDUCED MODULES AND AN ADAPTATION OF THE WIGNER-MACKEY METHOD OF LITTLE GROUPS

Venkataraman, Geetha (School of Liberal Studies Ambedkar University Delhi)

Publication Information

Journal of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1213-1222 More about this Journal

Abstract

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 char $\mathbb{K}$ does not divide |G| but there is no assumption made of $\mathbb{K}$ being algebraically closed.

Keywords

finite group; semidirect product; representations; induced modules; irreducibility;

Citations & Related Records

Reference

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