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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some remarks on Brauer's third main theorem


Author: Arye Juhász
Journal: Proc. Amer. Math. Soc. 86 (1982), 363-369
MSC: Primary 20C20
DOI: https://doi.org/10.1090/S0002-9939-1982-0671195-9
MathSciNet review: 671195
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Abstract: We consider two classes of $ p$-blocks of a finite group $ G$ which have the property that for every block $ B$ of them and every subgroup $ H$ of $ G$, $ H$ has only a small number of admissible blocks $ b$ with $ {b^G} = B$. In this they are similar to the principal block of $ G$. These blocks are described by means of certain modules they contain.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0671195-9
Keywords: Block theory, modules in blocks, defect groups, vertices
Article copyright: © Copyright 1982 American Mathematical Society