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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the blocks of $ GL(n,q)$. I


Author: Jørn B. Olsson
Journal: Trans. Amer. Math. Soc. 222 (1976), 143-156
MSC: Primary 20C20
DOI: https://doi.org/10.1090/S0002-9947-1976-0457544-7
MathSciNet review: 0457544
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Abstract: A study is made of the distribution of the ordinary irreducible characters of $ {\text{GL}}(n,q)$ into p-blocks for primes different from the characteristic. The paper gives a description of all possible defect groups for $ p \ne 2$ and their normalizers. Various other results are obtained, including a classification of the blocks of defect 0.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0457544-7
Article copyright: © Copyright 1976 American Mathematical Society