Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493361 | Journal of Algebra | 2005 | 8 Pages |
Abstract
We observe that Navarro's definition of a vertex for an irreducible character of a p-solvable group may be extended to irreducible characters in p-blocks with defect groups contained in a normal p-solvable subgroup N, and show that this definition is independent of the choice of N. We show that the fundamental properties of Navarro's vertices generalize, and as a corollary show that the vertices of the irreducible Brauer characters in blocks of the above form are radical and are intersections of pairs of Sylow p-subgroups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Charles W. Eaton,