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 Izv. Akad. Nauk SSSR Ser. Mat., 1987, Volume 51, Issue 5, Pages 915–935 (Mi izv1325)

Systems of generators for centralizers of rigid elements of the braid group

G. G. Gurzo

Abstract: The problem of describing centralizers of elements of the braid group was posed by Artin in 1947. An element of the braid group $\mathfrak B_{n+1}$ is said to be rigid if it can be represented as a positive word that is not equal to any other word in the braid semigroup. Explicit expressions are given for finite systems of generators for the centralizers of a wide class of rigid elements. The article is a continuation of the author's paper Systems of generators for the normalizers of certain elements of the braid group (Izv. Akad. Nauk SSSR. Ser. Mat., 1984, V. 48, № 3, P. 476–519), where the history of the problem is covered, and a list of references provided.
Bibliography: 2 titles.

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English version:
Mathematics of the USSR-Izvestiya, 1988, 31:2, 223–244

Bibliographic databases:

UDC: 512+515.1
MSC: Primary 20F36; Secondary 20F99

Citation: G. G. Gurzo, “Systems of generators for centralizers of rigid elements of the braid group”, Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987), 915–935; Math. USSR-Izv., 31:2 (1988), 223–244

Citation in format AMSBIB
\Bibitem{Gur87} \by G.~G.~Gurzo \paper Systems of generators for centralizers of rigid elements of the braid group \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1987 \vol 51 \issue 5 \pages 915--935 \mathnet{http://mi.mathnet.ru/izv1325} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=925088} \zmath{https://zbmath.org/?q=an:0678.20021|0661.20025} \transl \jour Math. USSR-Izv. \yr 1988 \vol 31 \issue 2 \pages 223--244 \crossref{https://doi.org/10.1070/IM1988v031n02ABEH001063}