Importance: Outstanding ✭✭✭✭
Subject: Group Theory
Recomm. for undergrads: no
Posted by: williamdemeo
on: February 22nd, 2011

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.


[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.


Comments are limited to a maximum of 1000 characters.
More information about formatting options