Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584484 | Journal of Algebra | 2015 | 21 Pages |
Abstract
Let G be a finite solvable group, let p be a prime such that p≥5p≥5 and Op(G)=1Op(G)=1, and we denote |G|p=pn|G|p=pn, then G contains a block of defect less than or equal to ⌊3n5⌋. Let G be a finite solvable group and let papa be the largest power of p dividing χ(1)χ(1) for an irreducible character χ of G , we show that |G:F(G)|p≤p3a|G:F(G)|p≤p3a for p≥5p≥5.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yong Yang,