Results on Dade's Conjecture

as of March 2001

1. SPORADIC SIMPLE GROUPS

M11	final	Dade [D1]
M12 (+coverings, outerauto.)	final	Dade
M22 (+coverings, outerauto.)	final	Huang [H]
M23, M24	final	Schwartz, An, Conder [AC]
J1	final	Dade [D1]
J2 (+coverings, outerauto.)	final	Dade
J3 (+coverings, outerauto.)	final	Kotlica [K]
McL (+coverings)	final	Murray [M], Entz, Pahlings [EP]
Ru	final	Dade, An, O'Brien [AO3]
He	final	An [A5]
HS	final	Hassan, Horváth [HH1]
Co2	final	An, O'Brien [AO1]
Co3	final	An [A6]
Suz	final	Himstedt [Hi]
O'Nan	final	Uno, Yoshiara [UY]
Fi23	final	An, O'Brien [AO2]
Fi22	invar.	An, O'Brien [AO4]
sporadic, abelian defect principal block	ord.	Rouquier [Rq]

FINITE CHEVALLEY GROUPS

GLn(q)	ord., p|q	Olsson, Uno [OU1]
GUn(q)	ord., p|q	Ku [Ku]
GLn(q), GUn(q)	invar., $p \nmid q$	An [A10]
Sp2n(q), $SO_m^{\pm}(q)$	ord., $p \nmid q$, p, q odd	An [A11]
L2(q)	final	Dade [D5]
L3(q)	final, p|q	Dade
Ln(q)	ord., p|q	Sukizaki [S]
Sz(22n+1)	final	Dade [D5]
G2(q)	final, $p \nmid q$ $q \ne 3, 4$	An [A1]+
2G2(32n+1)	final	$p \ne 3$ An [A2], p=3 Eaton [E1]
2F4(22n+1)	ord., $p \ne 2$	An [A3]
2F4(2)' (+ outerauto.)	final	An [A4]

SYMMETRIC AND ALTERNATING GROUPS

An, abelian defect	ord.	Fong, Harris [FH2]
Sn	ord.	$p \ne 2$ Olsson, Uno [OU2], p = 2 An [A8]

GENERAL RESULTS

cyclic defect group case	final	Dade [D4] +
tame block case	invar.	Uno [U]
abel. defect unipotent blocks	ord.	Broué, Malle, Michel [BMM]
abel. defect principal blocks	ord., p=2	Fong, Harris [FH1]
abel. defect, some cases	ord.	Puig, Usami [PU n] [Us n]
p-solvable	proj.	Robinson [Rb1]
Op(G) cyclic, G/Op(G) T.I.p-Sylow	proj.	Eaton [E2]