Skip to main content
  • 599 Accesses

Abstract

The following problem was first raised in the first edition of [26] (Problem II.18): Problem. Let K be a nontrivial lattice and let G be a group. Does there exist a lattice L such that the congruence lattice of L is isomorphic to the congruence lattice of K and the automorphism group of L is isomorphic to G? If K and G are finite, can L chosen to be finite?

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Birkhäuser Boston

About this chapter

Cite this chapter

(2006). Independence Theorems. In: The Congruences of a Finite Lattice. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4462-8_15

Download citation

Publish with us

Policies and ethics