On Representation of Monomial Groups

Authors

  • S A Bedaiwi Department of Mathematics, College of Science, Al-Mustansiryah University, Baghdad-Iraq
  • A A Hajim Department of Mathematics, College of Science, Al-Mustansiryah University, Baghdad-Iraq

Keywords:

Representation theory, Monomial groups, π-factorable characters

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.

Published

2011-09-01

Issue

Section

Articles

How to Cite

(1)
On Representation of Monomial Groups. ANJS 2011, 14 (3), 135-138.