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Broué's abelian defect group conjecture for alternating groups
Author(s):
Andrei
Marcus
Journal:
Proc. Amer. Math. Soc.
132
(2004),
7-14.
MSC (2000):
Primary 20C20;
Secondary 20C30, 16W50
Posted:
August 12, 2003
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Abstract:
We establish Broué's abelian defect group conjecture for the alternating groups, using the Chuang-Rouquier theorem (proving this for the symmetric groups) and a descent result.
References:
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- 1.
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- 3.
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Additional Information:
Andrei
Marcus
Affiliation:
``Babes-Bolyai" University, Faculty of Mathematics and Computer Science, Str. Mihail Kogalniceanu nr. 1, RO-40084 Cluj-Napoca, Romania
Email:
marcus@math.ubbcluj.ro
DOI:
10.1090/S0002-9939-03-07214-9
PII:
S 0002-9939(03)07214-9
Keywords:
Symmetric groups,
alternating groups,
blocks,
abelian defect groups,
Rickard equivalences,
splendid tilting complex,
group graded algebras
Received by editor(s):
August 15, 2002
Posted:
August 12, 2003
Additional Notes:
The author was supported by a Fulbright fellowship.
Communicated by:
Stephen D. Smith
Copyright of article:
Copyright
2003,
American Mathematical Society
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