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13-Brauer Trees of the Symmetric Group S22 |
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PP: 327-334 |
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doi:10.18576/amis/140217
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Author(s) |
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AbdulKareem A. Yaseen,
M. B. Tahir,
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Abstract |
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| 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.
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