A Module Theory Approach on Generalization of Maschke Theorem and Schur’s Lemma in Representation Theory
Penulis/Author
NAIMAH HIJRIATI (1); Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (2); Dr. Budi Surodjo, M.Si. (3); Prof. Dr. Sri Wahyuni, S.U. (4); ARIF MUNANDAR (5)
Tanggal/Date
2023
Kata Kunci/Keyword
Abstrak/Abstract
In this work we study representations of finite abelian groups over module over a principal ideal domain. Let G be a finite abelian group and M
a module over a principal ideal domain R. A representation of G over M is a group homomorphism from G to the automorphisms on M
over R. We use the fact that this M can be represented as an R[G]-module to generalize Maschke Theorem and Schur's Lemma.
