Decomposition matrices and Brauer trees of spin characters for S_25 , p=17
DOI:
https://doi.org/10.56714/bjrs.49.1.13Keywords:
Brauer tree, spin characters, decomposition matricesAbstract
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 .
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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]
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