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FREE AMALGAMATION AND AUTOMORPHISM GROUPS

Published online by Cambridge University Press:  12 August 2016

ANDREAS BAUDISCH
ANDREAS BAUDISCH*
Affiliation:
INSTITUT FÜR MATHEMATIK HUMBOLDT-UNIVERSITÄT ZU BERLIN D-10099 BERLIN, GERMANYE-mail: baudisch@mathematik.hu-berlin.de
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Abstract

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We show that the class of graded c-nilpotent Lie algebras over a fixed field K is closed under free amalgamation. In [1] this result was applied, but its proof was incorrect. In case of a finite field K we obtain a Fraïssé limit of all finite graded c-nilpotent Lie algebras over K. This gives an example for the following more general considerations. The existence of free amalgamation for the age of a Fraïssé limit implies the universality of its automorphism group for all automorphism groups of substructures of that Fraïssé limit. We use [6] and [5].

Keywords

03C60model theoryfree amalgamationautomorphism groupsLie algebrasgroups
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 3 , September 2016 , pp. 936 - 947
Copyright
Copyright © The Association for Symbolic Logic 2016 

References

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