The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2)

In this note, we prove the inductive blockwise Alperin weight condition for by establishing an equivariant bijection between 2-irreducible Brauer characters and 2-weights of the -cover of and for by establishing an equivariant bijection between 3-irreducible Brauer characters and 3-weights of the -c...

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Bibliographic Details
Published in:Communications in algebra 2022-01, Vol.50 (1), p.54-72
Main Author: Du, Yucong
Format: Article
Language:English
Subjects:
Alperin weight conjecture
the inductive blockwise Alperin weight condition
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Summary:In this note, we prove the inductive blockwise Alperin weight condition for by establishing an equivariant bijection between 2-irreducible Brauer characters and 2-weights of the -cover of and for by establishing an equivariant bijection between 3-irreducible Brauer characters and 3-weights of the -cover of Thus the inductive blockwise Alperin weight condition holds for the simple groups with for every prime dividing its order, since the other cases are treated.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2021.1950746