One of the most celebrated applications of character theory to pure group theory is Burnside’s theorem which states that a group with order divisible by at most two primes is solvable. The proof of this theorem depends on the properties of algebraic integers.
H.S. Ndakwo , M.A. Umar and A.M. Yau . Application of Character Theory of Finite Group.
DOI: https://doi.org/10.36478/rjasci.2008.88.89
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2008.88.89