𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Strong Independence Theorem for Automorphism Groups and Congruence Lattices of Arbitrary Lattices

✍ Scribed by G. Grätzer; F. Wehrung


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
330 KB
Volume
24
Category
Article
ISSN
0196-8858

No coin nor oath required. For personal study only.

✦ Synopsis


97᎐108 proved a much stronger result, the strong independence of the automorphism group and the congruence lattice in the finite case. In this paper, we provide a full affirmative solution of the above problem. In fact, we prove much stronger results, verifying strong independence for general lattices and also for lattices with zero.


📜 SIMILAR VOLUMES


Pieces of Eight: Semiselfdual Lattices a
✍ Robert L. Griess Jr. 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 335 KB

Contents. 1. Introduction. 2. Basic notations and definitions. 3. The automorphism group of the Leech lattice. 4. The Mathieu group, with the Golay code ( finally!). 5. Other consequences for the Leech lattice and its automorphism group. Appendixes: Background. A. Elementary lattice theory. B. Ortho

Comparison of the Woessner and the ‘mode
✍ Duncan G. Gillies; Stephen J. Matthews; Leslie H. Sutcliffe 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 270 KB

## Abstract Carbon‐13 NMR relaxation data obtained for methyl groups in two dicyclohexane compounds were used to compare the Woessner and ‘model‐free’ approaches. It is shown that the extra flexibility offered by the latter leads to a more successful analysis of the data.