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Which lattices occur as intervals in subgroup lattices of finite groups?

Importance: Outstanding ✭✭✭✭
Author(s):
Subject: Group Theory
Keywords: congruence lattice
finite groups
Recomm. for undergrads: no
Posted by: williamdemeo
on: February 22nd, 2011
Conjecture  

There exists a finite lattice that is not an interval in the subgroup lattice of a finite group.

This would settle the Finite Lattice Representation Problem.

Related problems

Finite Lattice Representation Problem

Bibliography

[P5] Palfy and Pudlak. Congruence lattices of finite algebras and intervals in subgroup lattices of finite groups. Algebra Universalis, 11 (1980), 22–27.


* indicates original appearance(s) of problem.
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