Factor Group for Some SL groups
DOI:
https://doi.org/10.58496/BJM/2024/018Keywords:
circular segmentation, class functions, special linear group, finite group, invertible n n matricesAbstract
This work found the circular segmentation (CS) for , and 19 to (2, ), after we find the (RRCT) for each group and diagonal the matrix of this (RRCT) if we suppose that the terms of this basic diagonal are then the (CS) is .
Let vector void on F, indicate whole linear isomo. of V upon same, a representation of G for representation void is a homo. of to . A representation model of is a homo. of to , where is the degree of the representation model.
Whole invertible ´ model form a group on a field F indicate ( ,F). A homo. of GL(n,F) to F-{0} is the determinant of these model, ( ,F) indicate the kernel of it. Thus ( ,F) is a subgp. of ( ,F) include whole models of determinant 1 on F.