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Retraction of Braid and Braid Group

Author(s): M.M. Al-Shamiri | M. El-Ghoul

Journal: Asian Journal of Algebra
ISSN 1994-540X

Volume: 1;
Issue: 1;
Start page: 1;
Date: 2008;
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Keywords: Braid | braid group | retraction

In this study we introduce the retraction and conditional retraction of braids and braid groups, we show the retraction of braid group is not necessary a braid group also a retraction of a singular braid is not necessary a singular braid. We prove that a retraction of a braid is a braid and every retraction of a braid group is a monoid also we prove that a retraction is a braid invariant. The limit of all types of retraction is described.
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