On the Representations of M-Groups

Authors

Taghreed Hur Majeed, Department of Mathematics, College of Education,Al-Mustansiriya University
Khawla A. Al-Zubaidy, Department of Mechanic Engineering, College of Engineering, University of Baghdad
Niran Sabah Jasim, Department of Mathematics, College of Education for Pure Science\Ibn-Al-Haitham, University of Baghdad

Abstract

The main object of this paper is to study the representations of monomial groups and characters technique for representations of monomial groups. We refer to monomial groups by M-groups. Moreover we investigate the relation of monomial groups and solvable groups. Many applications have been given the symbol G, e.g., the group of order 297 is an M-group and solvable. For any group G, the factor group G/G′ (where G′ is the derived subgroup of G) is an M-group. In particular, if G = Sₙ or SL(4, R), it is an M-group

Keywords

Representation Theory, Monomial Group, Solvable Group, Representation of Monomial Group.

Article Type

Article

How to Cite this Article

Majeed, Taghreed Hur; Al-Zubaidy, Khawla A.; and Jasim, Niran Sabah (2016) "On the Representations of M-Groups," Baghdad Science Journal: Vol. 13: Iss. 2, Article 25.
DOI: https://doi.org/10.21123/bsj.2016.13.2.0394