Normal Automorphisms of Free Burnside Groups of Period 3
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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Republic of Armenia National Academy of Sciences
2017-12-01
|
Series: | Armenian Journal of Mathematics |
Subjects: | |
Online Access: | http://armjmath.sci.am/index.php/ajm/article/view/157 |
Summary: | 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 $m\ge3$.
|
---|---|
ISSN: | 1829-1163 |