Decomposition Matrices for the Spin Characters of the Symmetric Group 23 ≤ n ≤ 24

Authors

AbdulKareem A. Yaseen, Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman, UAEFollow
Marwa M. Jawad, Department of Mathematics, College of Sciences, Basrah University, Basrah, IraqFollow

Author Country (or Countries)

UAE

Abstract

In this paper, we compute the Brauer trees of the symmetric group Sn, 23 ≤ n ≤ 24. It gives the decomposition matrices of spin characters of Sn, 23 ≤ n ≤ 24, modulo p = 17. We conclude that all blocks of defect zero or one and the decomposition numbers are all zero or one.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150608

Recommended Citation

A. Yaseen, AbdulKareem and M. Jawad, Marwa (2021) "Decomposition Matrices for the Spin Characters of the Symmetric Group 23 ≤ n ≤ 24," Applied Mathematics & Information Sciences: Vol. 15: Iss. 6, Article 8.
DOI: http://dx.doi.org/10.18576/amis/150608
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss6/8