2009.69: Modular representation theory of blocks with trivial intersection defect groups
2009.69: Jainbei An and Charles W. Eaton (2005) Modular representation theory of blocks with trivial intersection defect groups. Algebras and Representation Theory, 8 (3). pp. 427-448. ISSN 1386-923X
Full text available as:
|PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader|
We show that Uno's refinement of the projective conjecture of Dade holds every block whose defect groups intersect trivially modulo the maximal normal p-subgroup. This corresponds to the block having p-local rank one as defined by Jianbei An and Eaton. An immediate consequence is that Dade's projective conjecture, Alperin-McKay conjecture and Puig's nilpotent block conjecture hold for all trivial intersection blocks.
|Subjects:||MSC 2000 > 20 Group theory and generalizations|
|Deposited By:||Dr Charles Eaton|
|Deposited On:||11 October 2009|