Some properties of group representation over modules
Date
2017Author
Abdurrazzaq, Achmad
Zainab, Yahya
Ahmad Kadri, Junoh
Ismail Mohd
Metadata
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Representation theory is the parts of advanced topics in abstract algebra that deal with
groups. Reperesentation theory in general facilitate the problems on abstract algebra by
transforming into linear algebra form. There are some cases of representation theory
which can be expressed as modules over ring. Let G be a group and V be a vector space
over field, F . The representation of group G is a homomorphism y: G→GL(V), where
GL→V is invertible automorphism from V to itself.. In this study, the representation of
group was generalized by exchanging the vector spaces with modules. Furthermore, the
aim of this study is not only to generalize the representation of group over vector space but also to investigate conditions that formed on representation of group over modules. Results regarding the properties of representation of group over modules have been obtained in this study.