대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제17권3호
  • /
  • Pages.439-449
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  • 2002
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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FREE ARRANGEMENTS AND NICE PARTITIONS

  • Choi, Hyun-Hee (Department of Mathematics Education Korea National University of Education) ;
  • Lee, Ki-Suk (Department of Mathematics Education Korea National University of Education)
  • 발행 : 2002.07.01
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초록

If an arrangement admits a nice partition, or an arrangement is free, then the characteristic polynomial of the arrangement can be factored. It is known that a free arrangement does not always admit a nice partition. We show that even an inductively free arrangement does not always admit a nice partition.

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참고문헌

  1. Grundlehren 300, Springer-Verlage, New York Arrangements of Hyperplanes P. Orlik;H. Terao
  2. Trans. Amer. Math. Soc. v.320 Matroid Representations and Free Arrangements G. Ziegler https://doi.org/10.1090/S0002-9947-1990-0986703-7
  3. Advances in Mathematics v.91 Factorizations of the Orlik-Solomon Algebras H. Terao https://doi.org/10.1016/0001-8708(92)90009-A
  4. Ivent. Math. v.56 Combinatorics and Topology of Complements of Hyperplanes P. Orlik;L. Solomon
  5. Springer-Verlage Finite Reflection Groups L. C. Grove;C. T. Benson