Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Broué's abelian defect group conjecture for alternating groups


Author: Andrei Marcus
Journal: Proc. Amer. Math. Soc. 132 (2004), 7-14
MSC (2000): Primary 20C20; Secondary 20C30, 16W50
Published electronically: August 12, 2003
MathSciNet review: 2021243
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 20C20, 20C30, 16W50

Retrieve articles in all journals with MSC (2000): 20C20, 20C30, 16W50


Additional Information

Andrei Marcus
Affiliation: “Babeş-Bolyai" University, Faculty of Mathematics and Computer Science, Str. Mihail Kogălniceanu nr. 1, RO-40084 Cluj-Napoca, Romania
Email: marcus@math.ubbcluj.ro

DOI: http://dx.doi.org/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
Published electronically: August 12, 2003
Additional Notes: The author was supported by a Fulbright fellowship.
Communicated by: Stephen D. Smith
Article copyright: © Copyright 2003 American Mathematical Society