Existentially closed structures and some embedding theorems

2013/11/11 by M. Shahryari, Shahryari, M. · 1 citation
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Primary 20E45 #Secondary 20E06 #math.GR #msc:20E06 #msc:20E45

paper · pdf · doi:10.48550/arxiv.1311.2476

14 pages, 2 new sections are added, some corrections made

arxiv created 2014/05/06 · arxiv updated 2014/05/07

Abstract

Using the notion of existentially closed structures, we obtain embedding theorems for groups and Lie algebras. We also prove the existence of some groups and Lie algebras with prescribed properties.

Cited by

• An embedding theorem for Nijenhuis Lie algebras
• Groups with exactly two conjugacy classes

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• On effective constructions of existentially closed groups
• Nullstellensatz for relative existentially closed groups
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• Existentially closed II₁ factors
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