The composition factors of the 2-biset functor of kernel of the monomial linearization map
Loading...
Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2023.
Abstract
In this thesis, we find the composition factors of the 2-biset functor of kernel of the monomial linearization map. We prove that it is equivalent to finding the composition factors of C∗-fibered 2-biset functor SC2,1,1,1 as a 2-biset functor over C. We show that there is no composition factor of the form SH,V unless H is a cyclic group or C2 ×C2m. Moreover, we classify all composition factors of the form SC2m,V .