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Covering with rectangular pieces.

Iacob, Paul, Marinescu, Daniela, Luca, Cristina (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Curvature flows of maximal integral triangulations

Roland Bacher (1999)

Annales de l'institut Fourier

This paper describes local configurations of some planar triangulations. A Gauss-Bonnet-like formula holds locally for a kind of discrete “curvature” associated to such triangulations.

Cyclic and dihedral constructions of even order

Aleš Drápal (2003)

Commentationes Mathematicae Universitatis Carolinae

Let G ( ) and G ( * ) be two groups of finite order n , and suppose that they share a normal subgroup S such that u v = u * v if u S or v S . Cases when G / S is cyclic or dihedral and when u v u * v for exactly n 2 / 4 pairs ( u , v ) G × G have been shown to be of crucial importance when studying pairs of 2-groups with the latter property. In such cases one can describe two general constructions how to get all possible G ( * ) from a given G = G ( ) . The constructions, denoted by G [ α , h ] and G [ β , γ , h ] , respectively, depend on a coset α (or two cosets β and γ ) modulo S , and on an...

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