In the title salt, C(23)H(26)N(4) (2+)·2C(6)H(2)N(3)O(7) (-), the dihedral angle between the imidazolium rings in the dication is 69.9 (1)°. The aromatic ring of the benzyl group is almost perpendicular to the N-heterocyclic ring that is directly connected to it [dihedral angles = 83.2 (2) and 77.3 (3)°].

The title compound, C(21)H(16)N(2)O(2), was derived from 1-(2-hydroxy-phen-yl)-3-(-methoxy-phen-yl)propane-1,3-dione. The mol-ecular structure of the title compound is stabilized by an intra-molecular O-H⋯N hydrogen bond. The dihedral angle between the hydroxy-phenyl ring involved in this intra-molecular hydrogen bond and the pyrazole ring is significantly smaller [10.07 (6)°] than the dihedral...

In the title mol-ecule, C(17)H(12)N(6), the 2-pyridyl rings in the 3- and 4-positions and the 3-pyridyl ring in the 5-position make dihedral angles of 29.78 (16), 67.06 (16) and 32.97 (16)°, respectively, with the triazole group. The dihedral angle between the two 2-pyridyl rings is 65.72 (15)°. The dihedral angles between the 3-pyridyl ring and the two 2-pyridyl rings in the 3- and 4-positions...

We construct rank 2 thick nondiscrete affine buildings associated with an arbitrary finite dihedral group.

In this paper we determine the orbits of the braid group Bn action on Gn when G is a dihedral group and for any T ∈ Gn. We prove that the following invariants serve as necessary and sufficient conditions for Hurwitz equivalence. They are: the product of its entries, the subgroup generated by its entries, and the number of times each conjugacy class (in the subgroup generated by its entries) is ...