Decomposition matrices and Brauer trees of spin characters for S_25 , p=17

Authors

  • Marwa M. Jawad Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq

DOI:

https://doi.org/10.56714/bjrs.49.1.13

Keywords:

Brauer tree, spin characters, decomposition matrices

Abstract

In this paper, we will find  the Brauer trees and the decomposition matrices of the symmetric groups , when n=25 for p=17 by using -inducing for calculates modular characters from the ordinary characters of the symmetric group.

 Also, we find all the blocks of defect 0 and 1   and we will depend on the results of the decomposition matrices of the symmetric groups  when n=24 for p=17 .

Downloads

Download data is not yet available.

References

I. M. Isaacs, Academic press (1976)

A. A. Yaseen , M. M. Jawad, Applied Mathematics & Information Sciences (2021).

A.O. Morris, proc. London Math. Soc. 12(3), 55 (1962).

G.D. James, The Representation Theory, Marcel Dekker Inc, New York (1971).

L. Mass. Modular Spin Characters of Symmetric Groups. PhD thesis, UniversitatDusburg-Essen,Essen, (2011).

B.M. Puttaswamaiah, J. D. Dixon, Modulr Representation of Finite Groups, Academic Press, London, (1977).

http://www.thedomainname.org [Accessed: 1 January 2016]

Downloads

Published

30-06-2023

How to Cite

Jawad, M. M. (2023). Decomposition matrices and Brauer trees of spin characters for S_25 , p=17. Basrah Researches Sciences, 49(1), 150–158. https://doi.org/10.56714/bjrs.49.1.13

Issue

Section

Articles