℘-characters of PSL(2, q)

M. Ghorbani, A. Iranmanesh, A. Tehranian, M. Foroudi ghasemabadi

For a finite group G, an irreducible character of G is called a ℘-character, if it is a constituent of permutation character (1M)G for some maximal subgroup M of G. n this article, we determine the ℘-characters of group PSL(2,q), and we check which of the permutation characters (1M)PSL(2,q) are multiplicity-free.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 1 (2023), pp. 71-87