broue's conjecture
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2009 ◽  
Vol 321 (9) ◽  
pp. 2486-2499 ◽  
Author(s):  
Yutaka Yoshii
Keyword(s):  


2003 ◽  
Vol 86 (1) ◽  
pp. 109-130 ◽  
Author(s):  
MILES HOLLOWAY

Broué's abelian defect conjecture suggests a deep link between the module categories of a block of a group algebra and its Brauer correspondent, viz. that they should be derived equivalent. We are able to verify Broué's conjecture for the Hall–Janko group, even its double cover $2.J_2$, as well as for $U_3(4)$ and ${\rm Sp}_4(4)$. In fact we verify Rickard's refinement to Broué's conjecture and show that the derived equivalence can be chosen to be a splendid equivalence for these examples.2000 Mathematical Subject Classification: 20C20, 20C34.



2002 ◽  
Vol 173 (2) ◽  
pp. 177-211 ◽  
Author(s):  
Shigeo Koshitani ◽  
Naoko Kunugi ◽  
Katsushi Waki


2002 ◽  
Vol 248 (2) ◽  
pp. 575-604 ◽  
Author(s):  
Shigeo Koshitani ◽  
Naoko Kunugi


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