Factor Group for Some Sℒ groups
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Original research
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This work found the circular segmentation (CS) for ???? = 11,13, 17, and 19 to ????ℒ (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 V vector void on F, ????ℒ(V) indicate whole linear isomo. of V upon same, a representation of G for representation void V is a homo. of G to ????ℒ(V). A representation model of G is a homo. of G to ????ℒ(n, F), where n is the degree of the representation model. Whole invertible ????  ???? model form a group on a field F indicate ????ℒ(????,F). A homo. of GL(n,F) to F-{0} is the determinant of these model, ????ℒ(????,F) indicate the kernel of it. Thus (????,F) is a subgp. of ????ℒ(????,F) include whole models of determinant 1 on F.

Journal
Title
Babylonian Journal of Mathematics
Publisher
Babylonian Journal of Mathematics
Publisher Country
Iraq
Publication Type
Prtinted only
Volume
2024
Year
2024
Pages
171-177