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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

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