Finite Intervals in the Lattice of Topologies
✍ Scribed by Jürgen Reinhold
- Book ID
- 110264657
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 87 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0927-2852
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let M M be the lattice of length 2 with n G 1 atoms. It is an open problem to n Ž decide whether or not every such lattice or indeed whether or not every finite . lattice can be represented as an interval in the subgroup lattice of some finite group. We complete the work of the second author, Lucchi
We conjecture that the order complex of an open interval in the subgroup lattice of a finite group has the homotopy type of a wedge of spheres and prove that if (H, G) is a minimal counterexample to this conjecture then either G is almost simple or G = H N, where N is the unique minimal normal subgr