- Accepted Version
Restricted to Repository staff only until 9 December 2017.
Available under License : See the attached licence file.
Download (243kB) | Request a copy
Text (Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence)
Download (201kB) | Preview
Given a prime number p, every irreducible character χ of a finite group G determines a unique conjugacy class of p-subgroups of G which we will call the anchors of χ. This invariant has been considered by Barker in the context of finite p-solvable groups. Besides proving some basic properties of these anchors, we investigate the relation to other p-groups which can be attached to irreducible characters, such as defect groups, vertices in the sense of J.A. Green and vertices in the sense of G. Navarro.
|Additional Information:||© 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/|
|Uncontrolled Keywords:||Finite group; Character; Block; Defect group; Vertex|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||School of Engineering & Mathematical Sciences > Department of Mathematical Science|
Actions (login required)
Downloads per month over past year