Supersolvable orders and inductively free arrangements
Autor: | Zhe Li, Xiupeng Cui, Ruimei Gao |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
Pure mathematics
supersolvable arrangement inductively free arrangement General Mathematics 010102 general mathematics 0102 computer and information sciences 01 natural sciences 52c35 010201 computation theory & mathematics free arrangement QA1-939 0101 mathematics supersolvable order 32s22 Mathematics |
Zdroj: | Open Mathematics, Vol 15, Iss 1, Pp 587-594 (2017) |
ISSN: | 2391-5455 |
Popis: | 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. |
Databáze: | OpenAIRE |
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