13-Brauer Trees of the Symmetric Group S22

Authors

AbdulKareem A. Yaseen, Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, UAEFollow
M. B. Tahir, Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, UAEFollow

Author Country (or Countries)

UAE

Abstract

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)

http://dx.doi.org/10.18576/amis/140217

Recommended Citation

A. Yaseen, AbdulKareem and B. Tahir, M. (2020) "13-Brauer Trees of the Symmetric Group S22," Applied Mathematics & Information Sciences: Vol. 14: Iss. 2, Article 17.
DOI: http://dx.doi.org/10.18576/amis/140217
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss2/17