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On Representation of Monomial Groups | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 14, Issue 3, 2011, Pages 135-138 | ||
| Authors | ||
| ; | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Representation theory; Monomial groups; factorable characters | ||
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