Graduate Program in Mathematics.Coşkun, Olcay.Aslan, İbrahim Kaan.2025-04-142025-04-142023Graduate Program in Mathematics. CSE 2023 G87 (Thes HIST 2023 P36https://digitalarchive.library.bogazici.edu.tr/handle/123456789/21623In 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 .Nonlinear theories.Mathematical analysis.xi, 66 leaves