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On the NBC-Bases of product hypersolvable arrangements | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 10, Issue 3, 2018, Pages 108-117 PDF (0 K) | ||
| Author | ||
| Mayadah Abd Ulrazaq | ||
| Abstract | ||
| This paper aims centered around the product of hypersolvable arrangements by using the hypersolvable partition analogue by proving that each of A and B are hypersolvable if A × B is a hypersolvable, also each of A and B are supersolvable if A × B is supersolvable. Moreover, this paper show how to prove that the dimension of the first non-vanishing higher homotopy groups of the complement M(A × B) is p(A × B)× min{p(A), p(B)}. | ||
| Keywords | ||
| Hypersolvable; Supersolvable; Hypersolvable arrangements | ||
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