On generalized braid groups
نویسندگان
چکیده
منابع مشابه
On braid groups and homotopy groups
The purpose of this article is to give an exposition of certain connections between the braid groups [1, 3] and classical homotopy groups which arises in joint work of Jon Berrick, Yan-Loi Wong and the authors [8, 2, 32]. These connections emerge through several other natural contexts such as Lie algebras attached to the descending central series of pure braid groups arising as Vassiliev invari...
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To understand what a braid group is, it is easiest to visualize a braid. Consider n strands, all parallel. Consider taking the ith strand and crossing it over the very next strand. This is a braid. In fact, a braid is any sequence of crossings of the bands, provided none of the bands are self-crossing. For instance, a loop, or a band which forms a loop in the middle are not braids. Now, in orde...
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We provide new group presentations for surface braid groups which are positive. We study some properties of such presentations and we solve the conjugacy problem in a particular case.
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Program Monday 08h30-09h30 G. Lusztig: On the cleanness of cuspidal character sheaves. 09h45-10h45 P. Achar: Derived Satake equivalence and geometric restriction to a Levi subgroup. 11h15-12h15 G. Williamson: Generators and relations for Soergel bimodules. Tuesday 08h30-09h30 O. Brunat: On semisimple classes in finite reductive groups. 09h45-10h45 R. Charney: Groups Associated to Random Graphs....
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Recently the braid groups were introduced as a new source for cryptography. The group operations are performed efficiently and the features are quite different from those of other cryptographically popular groups. As the first step to put the braid groups into the area of pseudorandomness, this article presents some cryptographic primitives under two related assumptions in braid groups. First, ...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1986
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500006510