منابع مشابه
Group Signature Schemes Using Braid Groups
Artin’s braid groups have been recently suggested as a new source for public-key cryptography. In this paper we propose the first group signature schemes based on the conjugacy problem, decomposition problem and root problem in the braid groups which are believed to be hard problems.
متن کاملThe Chen Groups of the Pure Braid Group
A b st r ac t . The Chen groups of a group are the lower central series quotients of its maximal metabelian quotient. We show that the Chen groups of the pure braid group Pn are free abelian, and we compute their ranks. The computation of these Chen groups reduces to the computation of the Hilbert series of a certain graded module over a polynomial ring, and the latter is carried out by means o...
متن کاملThe Chen Groups of the Pure Braid Group DANIEL
The Chen groups of a group are the lower central series quotients of its maximal metabelian quotient. We show that the Chen groups of the pure braid group Pn are free abelian, and we compute their ranks. The computation of these Chen groups reduces to the computation of the Hilbert series of a certain graded module over a polynomial ring, and the latter is carried out by means of a Groebner bas...
متن کاملExtraspecial 2-groups and Images of Braid Group Representations
We investigate a family of (reducible) representations of the braid groups Bn corresponding to a specific solution to the YangBaxter equation. The images of Bn under these representations are finite groups, and we identify them precisely as extensions of extraspecial 2-groups. The decompositions of the representations into their irreducible constituents are determined, which allows us to relate...
متن کاملEfficient Group Key Agreement on Tree-based Braid Groups
The security issues in ad hoc network are increasingly important. In this paper, we propose a distributed key management what approach by using braid groups and key tree. Without any assumption of prefixed trust relationship between nodes, the proposed method works in a self-organizing way to provide the key management services. The using of the proposed tree-based braid groups has following ad...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 1969
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/20.1.235