Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587618 | Journal of Algebra | 2008 | 44 Pages |
Abstract
Rhetorical biset functors can be defined for any family of finite groups that is closed under subquotients up to isomorphism. The rhetorical p-biset functors almost coincide with the rational p-biset functors. We show that, over a field with characteristic zero, the rhetorical biset functors are semisimple and, furthermore, they admit a character theory involving primitive characters of automorphism groups of cyclic groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory