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In this paper we give a very natural description of the bijections between the set of cells in the minimal CW-complex homotopy equivalent to the complement of a complexified real supersolvable arrangement A, the nbc-basis of the Orlik-Solomon algebra associated to A and the set of chambers of A.
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Supersolvability of complementary signed-graphic hyperplane arrangements [PDF]
The authors study the graphic arrangenment associated to complementary signed graphs consisting of positive and negative graphs such that their union is the complete graph (the reference on arrangements of hyperplanes is the book by \textit{P. Orlik} and \textit{H.
Guangfeng Jiang, Jianming Yu
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On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups
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Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent lie algebras
Linear and Multilinear Algebra, 2022David Towers
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Lattice and order properties of the poset of regions in a hyperplane arrangement
Algebra Universalis, 2003Nathan Reading, Reading Nathan
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On Supersolvable Groups and the Nilpotator
Communications in Algebra, 2004Marcel Herzog, Piroska Csörgö
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On a group with three supersolvable subgroups of pairwise relatively prime indices
Archiv Der Mathematik, 2010Thomas P Wakefield
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