You are here: MIMS > EPrints
MIMS EPrints

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
347 Kb

DOI: 10.1007/s10468-005-8144-5

Abstract

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.

Item Type:Article
Subjects:MSC 2000 > 20 Group theory and generalizations
MIMS number:2009.69
Deposited By:Dr Charles Eaton
Deposited On:11 October 2009

Download Statistics: last 4 weeks
Repository Staff Only: edit this item