Bibliography

The links at the article numbers are to MathSciNet

A1

J. An, Dade's conjecture for Chevalley groups G₂(q) in non-defining characteristics, Canad. J. Math. 48 (1996), 673-691.

A2

J. An : Dade's conjecture for the simple Ree groups ²G₂(q²) in non-defining characteristics, Indian J. Math. 36 (1994) 7-27.

A3

J. An : The Alperin and Dade conjecture for the simple Ree groups ²F₄(q²) in non-defining characteristics, J. Algebra 203 (1998), no. 1, 30-49.

A4

J. An : Dade's conjecture for the Tits Group, NZ J. Math. 25 (1996) 107-131.

A5

J. An : The Alperin and Dade conjectures for the simple Held group, J. Alg. 189 (1997) 34-57.

A6

J. An : The Alperin and Dade conjectures for the simple Conway's third group, Israel J. Math. 112 (1999) 109-134.

A7

J. An : Dade's invariant conjecture for Chevalley group G₂(q) in non-defining characteristics, submitted.

A8

J. An : Dade's conjecture for 2-blocks of symmetric groups. Osaka J. Math. 35 (1998), no. 2, 417-437.

A9

J. An : Dade's conjecture for Steinberg triality groups ³D₄(q) in non-defining characteristics, Math. Z., to appear.

A10

J. An : Dade's invariant conjecture for general linear and unitary groups in non-defining characteristics. Trans. Amer. Math. Soc., 353 (2001), no. 1, 365-390.

A11

J. An : Dade's ordinary conjecture for classical groups in non-defining characteristics, submitted.

A12

J. An : The Alperin and Dade conjectures for some finite groups. Group theory and combinatorial mathematics (Japanese) (Kyoto, 1996). Surikaisekikenkyusho Kokyuroku No. 991 , (1997), 28-35. (survey article)

AC

J. An, M. Conder : The Alperin and Dade conjectures for the simple Mathieu groups, Comm. Alg. 23 (1995) 2797-2823.

AE

J. An, C.W. Eaton : The p-local rank of a block, J. Group Theory, 3 (2000), no. 4, 369-380.

AO1

J. An, A. O'Brien : A local strategy to decide the Alperin and Dade conjectures. J. Algebra 206 (1998), no. 1, 183-207.

AO2

J. An, A. O'Brien : The Alperin and Dade conjectures for the simple Fischer group Fi₂₃, International J. Alg. and Computation 9 (1999), no. 6, 621-670.

AO3

J. An, A. O'Brien : The Alperin and Dade conjectures for the Rudvalis simple group Ru, preprint.

AO4

J. An, A. O'Brien : The Alperin and Dade conjectures for the simple Fischer group Fi₂₂, preprint.

BMM

M. Broué, G. Malle, J. Michel : Generic blocks of finite reductive groups, Asterisque, 212 (1993) 1-92.

D1

E. C. Dade : Counting characters in blocks, I, Invent. math. 109 (1992) 187-210.

D2

E. C. Dade : Counting characters in blocks, II, J. reine angew. Math. 448 (1994) 97-190.

D3

E. C. Dade : Counting characters in blocks, II.9, Representation theory of finite groups (Columbus, OH, 1995), 45-59, Ohio State Univ. Math. Res. Inst. Publ., 6, de Gruyter, Berlin, 1997.

D4

E. C. Dade : Counting characters in blocks with cyclic defect groups, I, J. Alg. 186 (1996) 934-969.

D5

E. C. Dade : Counting characters of (ZT)-groups. J. Group Theory 2 (1999), no. 2, 113-146.

D6

E. C. Dade : Another way to count characters. J. Reine Angew. Math. 510 (1999), 1-55.

E1

C. W. Eaton : Dade's inductive conjecture for the Ree groups of type G₂ in the defining characteristic, J. Algebra 226 (2000) no. 1, 614-620.

E2

C. W. Eaton : On finite groups of p-local rank one and conjectures of Dade and Robinson, to appear in J. Algebra.

ER

C. W. Eaton, G.R.Robinson : On a minimal counterexample to Dade's Projective Conjecture, preprint, 2001.

EP

G. Entz, H. Pahlings : The Dade conjecture for the McLaughlin group, Groups St. Andrews 1997 in Bath, I, 253-266, London Math. Soc. Lect. Notes Ser. 260, Cambridge Univ. Press, Cambridge, 1999.

FH1

P. Fong, M. Harris : On perfect isometries and isotypies in finite groups, Invent. math. 114 (1993) 139-191.

FH2

P. Fong, M. Harris : On perfect isometries and isotypies in alternating groups. Trans. Amer. Math. Soc. 349 (1997), no. 9, 3469-3516.

HH1

N.M. Hassen, E. Horváth : Dade's conjecture for the simple Higman-Sims group, Groups St. Andrews 1997 in Bath, I, 329-345, London Math. Soc. Lect. Notes Ser. 260, Cambridge Univ. Press, Cambridge, 1999.

HH2

N.M. Hassen, E. Horváth : Some remarks on Dade's conjecture. Math. Pannon. 9 (1998), no. 2, 181-194.

Hi

Frank Himstedt : Diploma thesis.

Hu

J. Huang : Counting characters in blocks of M₂₂, J. Alg. 191 (1997) 1-75.

K

S. Kotlica : Verification of Dade's conjecture for Janko group $J\sb 3$, J. Algebra 187 (1997) 579-619.

Ku

C. Ku : Dade's conjecture for the finite unitary groups in the defining characteristic, Thesis, California Institute of Technology, June, 1999.

Ma

A. Marcus : Derived equivalences and Dade's invariant conjecture, J. Algebra 221 (1999) no. 2, 513-527.

M

J. Murray : Dade's conjecture for the McLaughlin simple groups, Thesis, University of Illinois at Urbana-Champaign, January 1998.

OU1

J. B. Olsson, K. Uno : Dade's conjecture for general linear groups in the defining characteristic, Proc. London Math. Soc. 72 (1996) 359-384.

OU2

J. B. Olsson, K. Uno : Dade's conjecture for symmetric groups, J. Alg. 176 (1995) 534-560.

PU1

L. Puig, Y. Usami : Perfect isometries for blocks with abelian defect groups and Klein four inertial quotients, J. Algebra 160 (1993) 192-225.

PU2

L. Puig, Y. Usami : Perfect isometries for blocks with abelian defect groups and cyclic inertial quotients of order 4, J. Algebra 172 (1995) 205-213.

Rb1

G. R. Robinson : Dade's Projective Conjecture for p-Solvable Groups, J. Algebra 229 (2000), no. 1, 234-248.

Rb2

G. R. Robinson : Cancellation Theorems related to Conjectures of Alperin and Dade, preprint 2001.

Rq

R. Rouquier : Isométries parfaites dans les blocs á défaut abélien des groupes symétriques et sporadiques, J. Algebra 168 (1994) 648-694.

Sa1

M. Sawabe : The 3-radicals of ${\rm Co}\sb 1$ and the 2-radicals of Rud. Arch. Math. (Basel) 74 (2000), no. 6, 414-422.

Sa2

M. Sawabe : 2-radical subgroups of the Conway simple group ${\rm Co}\sb 1$. J. Algebra 211 (1999), no. 1, 115-133.

Sa3

M. Sawabe : On the radical chains of finite groups, preprint.

Sa4

M. Sawabe : The centric p-radical complex and related p-local geometries, preprint.

S

H. Sukizaki : Dade's conjecture for special linear groups in the defining characteristic, J. Algebra 220 (1999), no. 1, 261-283.

U

K. Uno : Dade's conjecture for tame blocks,Osaka J. Math. 31 (1994) 747-772.

U1

K. Uno : Cases of Dade's conjecture. Group theory and combinatorial mathematics (Japanese) (Kyoto, 1996). Surikaisekikenkyusho Kokyuroku No. 991 , (1997), 16-27. (survey article)

UY

K. Uno, S. Yoshiara : Dade's conjecture for the simple O'Nan group, preprint, 2001.

Us1

Y. Usami : On p-blocks with abelian defect groups and inertial index 2 or 3. I, J. Algebra 119 (1988) 123-146.

Us2

Y. Usami : On p-blocks with abelian defect groups and inertial index 2 or 3. II, J. Algebra 122 (1989) 98-105.

Us3

Y. Usami : Perfect isometries for blocks with abelian defect groups and dihedral inertial quotients of order 6, J. Algebra 172 (1995) 113-125.

Us4

Y. Usami : Perfect isometries and isotypies for blocks with abelian defect groups and the inertial quotients isomorphic to $\mathbf{Z}\sb 4\times\mathbf{Z}\sb 2$, J. Algebra 181 (1996) 727-759.

Us5

Y. Usami : Perfect isometries and isotypies for blocks with abelian defect groups and the inertial quotients isomorphic to $\mathbf{Z}\sb 3\times\mathbf{Z}\sb 3$, J. Algebra 182 (1996) 140-164.

Us6

Y. Usami : Perfect isometries for principal blocks with abelian defect groups and elementary abelian 2-inertial quotients, J. Algebra 196 (1997), no. 2, 646-681.

Y1

S. Yoshiara : The radical 2-subgroups of the sporadic simple groups $J\sb4,{\rm Co}2$, and Th, J. Algebra 233 (2000), no. 1, 309-341.

Y2

S. Yoshiara : The radical 2-subgroups of some sporadic simple groups, preprint.

2001-03-15