On the Representation Theory of Finite Groups

Author(s):

M. R. Darafsheh *

Message:
Article Type:
Review Article (دارای رتبه معتبر)
Abstract:

The representation theory of finite groups has important applications in investigatingthe structure of abstract finite groups.This theory was developed by Frobenusmore than 100 years ago and later studied by Burnside, Schur, and Brauer. Inthis article we try to explain fundamental theorems of this theory and mention a fewapplications.

Keywords:

representation of finite groups‎ , ‎characters‎ , ‎supercharacters‎ , ‎triangle groups‎ , Hurwitz‎ groups

Language:
Persian
Published:
Journal of Mathematical Culture and Thought, Volume:42 Issue: 1, 2023
Pages:
47 to 70
https://www.magiran.com/p2606446