Retraction of braid and braid group.

M. El-Ghoul; M. M. Al-Shamiri

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Retraction of braid and braid group.

Author(s)

M. El-Ghoul Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

M. M. Al-Shamiri Department of Mathematics, Faculty of Science, Menoufia University, Menoufia, Egypt

Abstract

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.

Publication Details

Page(s) 1-9

DOI DOI not available

Published Journal: Asian Journal of Algebra, Volume: 1, Issue: 1, Year: 2008

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