𝔖 Bobbio Scriptorium
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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

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📜 SIMILAR VOLUMES


On Representing Finite Lattices as Inter
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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

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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