Deformations of some biset-theoretic categories
Date
2020-09
Authors
Editor(s)
Advisor
Barker, Laurence John
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Print ISSN
Electronic ISSN
Publisher
Volume
Issue
Pages
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
We define the subgroup category, a category on the class of finite groups where the morphisms are given by the subgroups of the direct products and the composition is the star product. We also introduce some of its deformations and provide a criteria for their semisimplicity. We show that biset category can be realized as an invariant subcategory of the subgroup category, where the composition is much simpler. With this correspondence, we obtain some of the deformations of the biset category. We further our methods to the fibred biset category by introducing the subcharacter partial category. Similarly, we also realize the fibred biset category and some of its deformations in a category where the composition is more easily described.
Course
Other identifiers
Book Title
Degree Discipline
Mathematics
Degree Level
Doctoral
Degree Name
Ph.D. (Doctor of Philosophy)