Splitting automorphisms of free Burnside groups
Journal Article
·
· Sbornik. Mathematics
- Yerevan State University, Yerevan (Armenia)
It is proved that, if the order of a splitting automorphism of odd period n{>=}1003 of a free Burnside group B(m,n) is a prime, then the automorphism is inner. This implies, for every prime n{>=}1009, an affirmative answer to the question on the coincidence of the splitting automorphisms of period n of the group B(m,n) with the inner automorphisms (this question was posed in the 'Kourovka Notebook' in 1990). Bibliography: 17 titles.
- OSTI ID:
- 22156549
- Journal Information:
- Sbornik. Mathematics, Vol. 204, Issue 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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