REPRESENTATION OF GROUPS BY HOMOMORPHISM | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 53, Issue 3, August 2012, Pages 629-632 | ||
| Author | ||
| Abstract | ||
| Issacs [1] shows that if is a homomorphism ( is the multiplicative group of the field F) and is a group, then one can define which is an F-representation of of degree 1 affords as character. [2,3,4] inspires us to do the following: given a homomorphism then we define a representation of by the homomorphism from a given F-representation of as . We study this kind of representations and their associated characters. | ||
| Keywords | ||
| Representation theory; Character theory; Irreducible characters | ||
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