On Representation of Monomial Groups
Keywords:
Representation theory, Monomial groups, π-factorable charactersAbstract
Taketa shows that all monomial groups (commonly written as M-groups) are solvable. Gajendragadkar gives the notion of π-factorable character. We show that an irreducible character of an M-group is primitive if it is π-factorable. Issacs proves that product of two monomial characters is a monomial. We extend this fact to include any finite number of monomial characters consequently we prove that any product of finite number of M-groups is an M-group. We show that any group of order 45 is an M-group and for any group G, the factor group is an M-group.Downloads
Published
2011-09-01
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Section
Articles
How to Cite
[1]
“On Representation of Monomial Groups”, ANJS, vol. 14, no. 3, pp. 135–138, Sep. 2011, Accessed: May 02, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/848