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Download Algorithmic Problems in the Braid Group: Theory and Applications djvu

by Elie Feder

Author: Elie Feder
Subcategory: Mathematics
Language: English
Publisher: VDM Verlag Dr. Müller (May 15, 2009)
Pages: 84 pages
Category: Math and Science
Rating: 4.7
Other formats: lrf doc lit mbr

We generalize this application to prove a new theorem regarding the conjugacy problem in cyclic . Braid group is a very important non-commutative group. It is also an important tool of quantum field theory, and has good topological properties.

We generalize this application to prove a new theorem regarding the conjugacy problem in cyclic amalgamations. We then discuss some application of braid groups, culminating in a section devoted to the discussion of braid group cryptography.

We then discuss known solutions to decision problems in braid groups The study of braid groups and their applications is a field which has attracted the interest of mathematicians an. .

We then discuss known solutions to decision problems in braid groups. We revise and prove some theorems of Lipschutz and show their application to cyclic amalgamations of braid groups. We generalize this application to prove a new theorem regarding the conjugacy problem in cyclic amalgamations. The study of braid groups and their applications is a field which has attracted the interest of mathematicians and computer scientists alike. We then turn to a discussion of decision problems in cyclic amalgamations of groups and solve the word problem for the cyclic amalgamation of two braid groups.

Mathematics Group Theory. Title:Algorithmic Problems in the Braid Group. Submitted on 14 May 2003). We then discuss some known solutions to decision problems in braid groups. We then move on to proving new results in braid group algorithmics. We offer a quick solution to the generalized word problem in braid groups, in the special case of cyclic subgroups.

The study of braid groups and their applications is a field which has attracted the interest of mathematicians and . We then discuss known solutions to decision problems in braid groups.

The study of braid groups and their applications is a field which has attracted the interest of mathematicians and computer scientists alike. We then prove new results in braid group algorithmics. We illustrate this solution using a multitape Turing machin. ONTINUE READING.

Quasipositive braids naturally appear in the study of plane algebraic curves. The algorithmic problem to decide whether a given braid is quasipositive is still open. Some partial results in this direction will be presented in the talk.

28 Algorithmic Problems in the Braid Groups. 22. 3 Braids and Knots. 5 Application of Random Knotting to Viral DNA Packing. 201. 51 Knot Type Probabilities for P4 DNA in Free Solution. 24. 32 Braids to Knots. 28. The Vogel Method. 29. An Axis for the Universal Polyhedron. 204. 52 Monte Carlo Simulation. 205. 53 Results and Discussion Knot Complexity of DNA Molecules Extracted from Phage P4.

The new techniques inspired by algorithmic problems in non-commutative group theory and their .

The new techniques inspired by algorithmic problems in non-commutative group theory and their complexity have offered promising ideas for developing new cryptographic protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.

The workshop includes lecture courses and short talks of participants. The courses are aimed at students, graduate students and young scientists. The lectures include a quick introduction to the topic and problem solving activities. The workshop will take place in the summer camp Karakan near Novosibirsk.

Enter Zip Code or city, state. Error: Please enter a valid ZIP code or city and state. Good news - You can still get free 2-day shipping, free pickup, & more. Other books in this series. Format Paperback 123 pages. Interpolation Theory and Applications.

The study of braid groups and their applications is a field which has attracted the interest of mathematicians and computer scientists alike. We begin with a review of the notion of a braid group. We then discuss known solutions to decision problems in braid groups. We then prove new results in braid group algorithmics. We offer a quick solution to the generalized word problem in braid groups, in the special case of cyclic subgroups. We illustrate this solution using a multitape Turing machine. We then turn to a discussion of decision problems in cyclic amalgamations of groups and solve the word problem for the cyclic amalgamation of two braid groups. We then turn to a more general study of the conjugacy problem in cyclic amalgamations. We revise and prove some theorems of Lipschutz and show their application to cyclic amalgamations of braid groups. We generalize this application to prove a new theorem regarding the conjugacy problem in cyclic amalgamations. We then discuss some application of braid groups, culminating in a section devoted to the discussion of braid group cryptography.