Article ID Journal Published Year Pages File Type
4584009 Journal of Algebra 2016 13 Pages PDF
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.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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