Normal Automorphisms of Free Burnside Groups of Period 3

Varujan Atabekyan

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Abstract

If any normal subgroup of a group GG is ϕϕ-invariant for some automorphism ϕϕ of GG, then ϕϕ 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)B(m,3) of period 3 is inner for all rank m≥3m≥3.

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Normal Automorphisms of Free Burnside Groups of Period 3

Abstract

Author(s)

Table of Contents

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Normal Automorphisms of Free Burnside Groups of Period 3

Abstract

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