Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584083 | Journal of Algebra | 2015 | 12 Pages |
Abstract
We study ordinary characters of a finite group G which vanish on the p-singular elements for a fixed prime p dividing the order of G. Such characters are called quasi-projective. We show that all quasi-projective characters of G are characters of projective modules if and only if the ordinary irreducible characters of G can be ordered in such a way that the top square fragment of the decomposition matrix is diagonal. Finally, we prove that the number of indecomposable quasi-projective characters of G is finite and characterize them in case of blocks with cyclic defect groups.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
W. Willems, A.E. Zalesski,