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ON SOME REFLECTION MATROIDS | ||
| Journal of College of Education for Pure Science | ||
| Article 1, Volume 4, Issue 2, 2014, Pages 113-132 | ||
| Authors | ||
| ; Rossal L.Baqir; M. Ali | ||
| Abstract | ||
| The aim of this paper is to construct the reflection matroids that related to some types of reflection groups. The Coxetermatroid of the complexification of the Coxeter arrangements(A(I_2 (n) ),n=4),〖(A(A〗_n),n≥3), 〖(A(B〗_n),n≥3), 〖(A(C〗_n),n≥3)and〖(A(D〗_n),n=4) were constructed. As well as, the reflection matroids of the complex reflection arrangements 〖A(G〗_24),〖A(G〗_25),〖 A(G〗_26) and 〖A(G〗_27)were computed. | ||
| Keywords | ||
| Reflection arrangement; Hypersolvable arrangement; Supersolvable arrangement; Matroid theory; Reduced Homological group and; Cohen Macaulay ring | ||
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