In this paper, all the blocks of defect one and the decomposition numbers are all zero or one, then the Brauer tree is a graph connecting the irreducible ordinary characters. The method (r,r′)-inducing (restricting) is used to compute the Brauer trees of the symmetric group S22 modulo P = 13, which gives the irreducible modular spin characters modulo P = 13. Also, the 13-decomposition matrices of the spin characters of S22 are found.
Digital Object Identifier (DOI)
A. Yaseen, AbdulKareem and B. Tahir, M.
"13-Brauer Trees of the Symmetric Group S22,"
Applied Mathematics & Information Sciences: Vol. 14:
2, Article 17.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss2/17