Groups With Two Generators Having Unsolvable Word Problem and Presentations of Mihailova Subgroups of Braid Groups
DOI10.1080/00927872.2015.1065867zbMath1401.20032OpenAlexW2555054580MaRDI QIDQ5740571
Hanling Lin, Ling Yang, Xiaofeng Wang, Guo Li
Publication date: 27 July 2016
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2015.1065867
Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Word problems, etc. in computability and recursion theory (03D40)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Probabilistic solutions of equations in the braid group.
- A recursive presentation for Mihailova's subgroup.
- Aspherical group presentations
- Relations among the squares of the generators of the braid group
- Conjugacy problem for braid groups and Garside groups.
- Non-Abelian key agreement protocols
- An algebraic method for public-key cryptography
- Combinatorial group theory and public key cryptography
- Representation attacks on the Braid Diffie-Hellman public key encryption
- The conjugacy search problem in public key cryptography: unnecessary and insufficient
- Entity authentication schemes using braid word reduction
- Simple examples of groups with unsolvable word problem
- A new approach to the conjugacy problem in Garside groups.
- Cryptanalysis of the shifted conjugacy authentication protocol
- On Some Groups which cannot be Finitely Presented
- A Practical Attack on Some Braid Group Based Cryptographic Primitives
- Advances in Cryptology - CRYPTO 2003
- Cryptanalysis of Group-Based Key Agreement Protocols Using Subgroup Distance Functions
- Length Based Attack and Braid Groups: Cryptanalysis of Anshel-Anshel-Goldfeld Key Exchange Protocol
- Embedding Theorems for Groups
- The word problem
This page was built for publication: Groups With Two Generators Having Unsolvable Word Problem and Presentations of Mihailova Subgroups of Braid Groups