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The Hypersolvable Complex Reflection Arrangement A(G29) | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 25, Issue 3, 2014, Pages 77-84 | ||
| Author | ||
| Rabeaa G.A.AL-Aleyawee | ||
| Abstract | ||
| The purpose of this study is to analyze the complex reflection arrangements A(G29). During our study work we succeed to answering the open problem suggested by Jambu and Papadima in “Jambu M., Papadima S., [1]” (is there an arrangement A, hypersolvable and free, such that L(A) > rk(A)?), when we prove that A(G29) is a rank four hypersolvable arrangement with a composition series of length L(A(G29)) =25, and A(G29) is not supersolvable arrangement. We compute the Poincare polynomials of A(G29) .Also we prove that the action of G29 on A(G29) preserves the hypersolvability conditions. | ||
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