Supersolvable orders and inductively free arrangements

Abstract

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.

Keywords

• free arrangement
• inductively free arrangement
• supersolvable arrangement
• supersolvable order
• 52c35
• 32s22