@article{REPRESENTATION OF GROUPS BY HOMOMORPHISM_2024, volume={53}, url={https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12828}, DOI={10.24996/}, abstractNote={Issacs [1] shows that if* :GF is a homomorphism (* F is the multiplicativegroup of the field F) and G is a group, then one can define (g) ((g)) which isan F-representation of G of degree 1 affords as character. [2,3,4] inspires us to dothe following: given a homomorphism* f :GG then we define a representation ofG by the homomorphism f from a given F-representation* * :G GL(n,F)of* G as* f . We study this kind of representations and their associatedcharacters.}, number={3}, journal={Iraqi Journal of Science}, year={2024}, month={Mar.}, pages={629–632} }