Supersolvable orders and inductively free arrangements
Ruimei Gao, Xiupeng Cui, Zhe Li (2017)
Open Mathematics
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In this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order. Our main results improve the conclusion that every supersolvable arrangement is inductively free. In addition, we assert that the inductively free arrangement with the required induction table is supersolvable.