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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Mathematics
, 2025, Issue 1, pp. 1–10
ISSN Online: 0000-0000
DOI:
10.xxxx/example-doi