Groups with exactly two conjugacy classes

2013/10/28 by M. Shahryari, Shahryari, M.
Computer Science · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1310.7307

This paper has been withdrawn by the author because the new article, arXiv:1311.2476, "Algebraically closed groups and some embedding theorems" contains the results of this note

openalex publication_date 2013/10/28 · arxiv created 2013/11/12 · arxiv updated 2013/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the concept of algebraically closed groups, we prove that there is a countable torsion free group with exactly two conjugacy classes.

Citations

• Existentially closed structures and some embedding theorems

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