S_25, p=17的自旋字符分解矩阵和Brauer树

49 Pub Date : 2023-06-30 DOI:10.56714/bjrs.49.1.13

Marwa M. Jawad

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摘要

本文利用-归纳法从对称群的普通字符中计算模字符，得到当n=25, p=17时对称群的Brauer树和分解矩阵。同样，我们找到了缺陷0和缺陷1的所有块，我们将依赖于对称群在n=24时对p=17的分解矩阵的结果

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

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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