Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584009 | Journal of Algebra | 2016 | 13 Pages |
Abstract
A finite simple group of Lie type in defining characteristic p has exactly two p-blocks, the principal block and a block of defect zero consisting of the Steinberg character whose degree is the p-part of the order of the group. In this paper we characterize finite groups G which have exactly the principal p-block and a p -block of defect zero consisting of an irreducible character of degree |G|p|G|p.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yanjun Liu, Wolfgang Willems,