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Systems of generators for normalizers of some elements of a braid group. (Russian) Zbl 0548.20022
The author determines the normalisers of the following elements in the braid group $$B_{n+1}: \sigma_{i,j}=\sigma_ i\sigma_{i+1}...\sigma_ j, \tau_{j,i}=\sigma_ j\sigma_{j- 1}...\sigma_ i, (\sigma_{i,j}\tau_{j,i})^ t$$ and $$(\tau_{j,i}\sigma_{i,j})^ t$$ and $$(\sigma_{i,j}\sigma_{i,j- 1}...\sigma_{i,i})^ t,$$ where 1$$\leq i\leq j\leq n$$ and t is a positive integer. The results are too complicated to give here.
Reviewer: S.Moran

##### MSC:
 20F36 Braid groups; Artin groups 20E07 Subgroup theorems; subgroup growth 20F05 Generators, relations, and presentations of groups
##### Keywords:
normalisers; braid group