Uniform extensions of partial geometries
โ Scribed by A. A. Makhnev; M. S. Nirova
- Book ID
- 110189816
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2007
- Tongue
- English
- Weight
- 392 KB
- Volume
- 257
- Category
- Article
- ISSN
- 0081-5438
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In [4], line-closed combinatorial geometries were studied. Here, given a line-closed combinatorial geometry G(X), we determine all single point extensions of G(X) that are line-closed. Further, if H(X U r) is a line-closed geometry that is a smooth extension of G(X) we give a natural necessary and s
We consider affine extensions of geometries of Petersen and of tilde type, i.e., of flag-transitive geometries 1 belonging to a diagram (c.X ) b where either bwwb , i.e., the geometry of edges and vertices of the Petersen graph, or bwwb X =b= = =b t , i.e., the 3-fold cover of the generalized Sp 4
If S (n ,m ) (n ,m )โฅ(0, 0) is a multiplicative family of partial isometries on Z 2 with the lexicographic order, then S (1, 0) and S (0, 1) commute in a certain weak sense. Let A and B be commuting unitary extensions of S (1, 0) and S (0, 1) . We give a sufficient condition for A n B m (n ,m )โZ 2
We prove the following result: Let K be a lattice, let D be a distributive lattice with zero, and let ฯ : Con c K โ D be a {โจ, 0}-homomorphism, where Con c K denotes the {โจ, 0}-semilattice of all finitely generated congruences of K. Then there are a lattice L, a lattice homomorphism f : K โ L, and a