Factor Group for Some SL groups

Authors

  • Niran Sabah Jasim Department of Mathematics, College of Education for Pure Science Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0001-5340-3020
  • Mohammed Serdar I. Kirdar Applied Science Department, University of Technology, Baghdad, Iraq
  • Hadi Hamad Department of Mathematics, An-Najah National University, Nablus P400, Palestine https://orcid.org/0009-0001-6294-9305
  • Azza I.M.S. Abu-Shams Philadelphia University, College of Science, Mathematics Department, Ammaan Jordan https://orcid.org/0009-0003-1741-1447
  • Aisha zbaida Mathematics department, Faculty of Education, Bani waleed university, Libya.

DOI:

https://doi.org/10.58496/BJM/2024/018

Keywords:

circular segmentation, class functions, special linear group, finite group, invertible n  n matrices

Abstract

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.

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Published

2024-12-08

How to Cite

Jasim , N. S., Kirdar , M. S. I., Hamad , H., Abu-Shams , A. I., & zbaida , A. (2024). Factor Group for Some SL groups. Babylonian Journal of Mathematics, 2024, 171–177. https://doi.org/10.58496/BJM/2024/018
CITATION
DOI: 10.58496/BJM/2024/018
Published: 2024-12-08

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