Dade's conjecture for Steinberg triality groups $\null^3 D_4(q)$ in non-defining characteristics

2002 ◽  
Vol 241 (3) ◽  
pp. 445-469 ◽  
Author(s):  
Jianbei An
Keyword(s):  
Dade's Conjecture

scholarly journals Dade's Conjecture for the Simple O'Nan Group

2002 ◽  
Vol 249 (1) ◽  
pp. 147-185 ◽  
Author(s):  
Katsuhiro Uno ◽  
Satoshi Yoshiara
Keyword(s):  
Dade's Conjecture

scholarly journals Verification of Dade's Conjecture for Janko GroupJ3

1997 ◽  
Vol 187 (2) ◽  
pp. 579-619 ◽  
Author(s):  
Sonja Kotlica
Keyword(s):  
Dade's Conjecture

Dade's conjecture and wreath products

2002 ◽  
Vol 5 (4) ◽  
Author(s):  
Charles W. Eaton ◽  
Burkhard Höfling
Keyword(s):  
Wreath Products ◽  
Dade's Conjecture

ON A DADE'S CONJECTURE

2001 ◽  
Vol 29 (6) ◽  
pp. 2541-2552 ◽  
Author(s):  
Constantin Năstăsescu ◽  
Leonard Dăuş
Keyword(s):  
Dade's Conjecture

scholarly journals The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group J4

2003 ◽  
Vol 6 ◽  
pp. 119-140 ◽  
Author(s):  
Jianbei An ◽  
E. A. O'Brien ◽  
R. A. Wilson
Keyword(s):  
Simple Group ◽  
Dade's Conjecture ◽  
Alperin Weight Conjecture

AbstractThe authors construct faithful permutation representations of maximal 2-local subgroups and classify the radical chains of the Janko simple group J4; hence the Alperin weight conjecture and the Dade reductive conjecture for J4 are verified.

scholarly journals The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′24

2008 ◽  
Vol 11 ◽  
pp. 100-145 ◽  
Author(s):  
Jianbei An ◽  
John J. Cannon ◽  
E. A. O'Brien ◽  
W. R. Unger
Keyword(s):  
Simple Group ◽  
Dade's Conjecture ◽  
Alperin Weight Conjecture

AbstractWe classify the radical p-subgroups and chains of the Fischer simple group Fi′24 and then verify the Alperin weight conjecture and the Uno reductive conjecture for Fi′24.

Dade's Conjecture for Chevalley Groups G2(q) in Non-Defining Characteristics

1996 ◽  
Vol 48 (4) ◽  
pp. 673-691 ◽  
Author(s):  
Jianbei An ◽  
Yun Gao
Keyword(s):  
Finite Groups ◽  
Modular Representation ◽  
Chevalley Groups ◽  
Local Structures ◽  
Dade's Conjecture ◽  
Groups Of Lie Type

AbstractThis paper is part of a program to study the conjecture of E. C. Dade on counting characters in blocks for several finite groups of Lie type. The local structures of certain radical chains of Chevalley groups of type G2 are given and the ordinary conjecture is confirmed for the groups when the characteristic of the modular representation is distinct from the defining characteristic of the groups.

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