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math.GR2013
Groups with exactly two conjugacy classes
M. Shahryari
Using the concept of algebraically closed groups, we prove that there is a countable torsion free group with exactly two conjugacy classes.
math.GR2013
Existentially closed structures and some embedding theorems
M. Shahryari
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 pres…
math.GR2013
A combinatorial approach to rational exponential groups
M. Shahryari
We give a suitable definition of the concept of rational complex and prove that every rational exponential group is the fundamental group of some such a complex. In this framework,…