Hyperfactored of Reflection Arrangement A�(G_25 )

Authors

  • Raneen sabah haraj Department of Mathematics, College of Science, Mustansiriyah University
  • Rabeaa AL-Aleyawee Department of Mathematics, College of Science, Mustansiriyah University

DOI:

https://doi.org/10.23851/mjs.v30i3.656

Keywords:

the complex reflection arrangement(C.R.A), Nice partition(N.A), Factored arrangement(F.A)

Abstract

The purpose of this paper is to study the hyperfactored of the complex reflection arrangement
A(G 25 ). Depending on the lattice of arrangement A(G 25 ), the basis of A(G 25 ) has been found
and then partitioned. Also, showed that A(G 25 ) is not hyperfactored and is not inductively
factored.

References

R. Al-Aleyawee, Hypersolvable and Free Arrangements. Ph.D. Thesis, College of science, Mustansiriyah University, (2005).

P. Orlik and H. Terao, Arrangement of Hyperplanes. Grundlehren Math. Wiss. vol.300, Springer-Verlag Berlin, (1992).

[Crossref]

M. Jambu and L. Paris, Combinatorics of Inductively Factored Arrangements. Euroup. J. Combinatorics, 16, 267-292, (1995).

[Crossref]

T. Hoge and G. Rohle, Nice Reflection Arrangements. Math.GR, (2015).

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Published

2019-10-14

How to Cite

[1]
R. sabah haraj and R. AL-Aleyawee, “Hyperfactored of Reflection Arrangement A�(G_25 )”, MJS, vol. 30, no. 3, pp. 57–59, Oct. 2019.

Issue

Section

Mathematics