REPRESENTATION OF GROUPS BY HOMOMORPHISM

Authors

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

DOI:

https://doi.org/10.24996/

Keywords:

Representation theory, Character theory, Irreducible characters

Abstract

Issacs [1] shows that if
*  :GF is a homomorphism (
* F is the multiplicative
group of the field F) and G is a group, then one can define (g)  ((g)) which is
an F-representation of G of degree 1 affords  as character. [2,3,4] inspires us to do
the following: given a homomorphism
* f :GG then we define a representation of
G 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 associated
characters.

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Published

2024-03-20

Issue

Section

Mathematics

How to Cite

REPRESENTATION OF GROUPS BY HOMOMORPHISM. (2024). Iraqi Journal of Science, 53(3), 629-632. https://doi.org/10.24996/

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