Normal Automorphisms of Free Burnside Groups of Period 3
Keywords:
normal automorphism, inner automorphism, periodic group, free Burnside group, free groupAbstract
If any normal subgroup of a group $G$ is $\phi$-invariant for some automorphism $\phi$ of $G$, then $\phi$ is called a normal automorphism. Each inner automorphism of a group is normal, but converse is not true in the general case. We prove that any normal automorphism of free Burnside group $B(m,3)$ of period 3 is inner for all rank $m\ge3$.
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2017-12-26
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Normal Automorphisms of Free Burnside Groups of Period 3. (2017). Armenian Journal of Mathematics, 9(2), 60-67. http://test.armjmath.sci.am/index.php/ajm/article/view/157