normal automorphisms of free burnside groups of period 3
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ID: 219102
2017
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Abstract
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 $m\ge3$.
| Reference Key |
atabekyan2017armeniannormal
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|---|---|
| Authors | ;Varujan Atabekyan;H.T. Aslanyan;A. E. Grigoryan |
| Journal | Anticancer research |
| Year | 2017 |
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| Keywords | Keywords not found |
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