We give explicit generators for ideals of two classes of subspace arrangements embedded in certain reflection arrangements, generalizing results of Li-Li and Kleitman-Lovasz. We also give minimal generators for the ideals of arrangements that arise in a natural way from the p-skeleton of an n-dimensional cube and discuss conditions under which the generators that we give form Gröbner bases

There has been considerable interest in the past in analyzing specific families of hyperplane arrangements from the perspective of freeness. Examples of such families have primarily included classes of subarrangements of Coxeter arrangements. The subarrangements of the braid arrangement An , the Weyl arrangement of type An−1, are known as the graphical arrangements. They correspond naturally to...

ments under new stand-by arrangements for 19 countries (along with augmentation of access under existing arrangements for 2 other countries), extended arrangements for 4 countries, new ESAF arrangements for 8 countries (with access under ESAF arrangements being increased for 3 other countries), one new SAF arrangement , as well as one drawing under the compensatory and contingency financing fac...

terrorism is not a new phenomenon. history is full of terrorist acts which have taken or threaten many innocent people lives. increasing terrorist acts led the international community to expand its arrangements against them. consequently, approval of 12 world conventions and 7 regional ones is in parallel with the arrangements. through the un security council's resolution no. 1373 after 9/...

The aim of this note is a classification of all nice and all inductively factored reflection arrangements. It turns out that apart from the supersolvable instances only the monomial groups G(r, r, 3) for r > 3 give rise to nice reflection arrangements. As a consequence of this and of the classification of all inductively free reflection arrangements from Hoge and Röhrle (2015) we deduce that th...