TL;DR
This paper investigates the structure of the outer automorphism groups of free Burnside groups with large odd exponents, revealing the presence of free and free abelian subgroups.
Contribution
It demonstrates that these automorphism groups contain both free and free abelian subgroups, advancing understanding of their algebraic structure.
Findings
Outer automorphism groups contain free subgroups.
Outer automorphism groups contain free abelian subgroups.
Results apply to free Burnside groups of large odd exponent.
Abstract
In this paper, we study some properties of the outer automorphism group of free Burnside groups of large odd exponent. In particular, we prove that it contains free and free abelian subgroups.
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