This volume contains the proceedings of three special sessions: Algebra and Computer Science, held during the Joint AMS-EMS-SPM meeting in Porto, Portugal, June 10-13, 2015; Groups, Algorithms, and Cryptography, held during the Joint Mathematics Meeting in San Antonio, TX, January 10-13, 2015; and Applications of Algebra to Cryptography, held during the Joint AMS-Israel Mathematical Union meeting in Tel-Aviv, Israel, June 16-19, 2014.
Papers contained in this volume address a wide range of topics, from theoretical aspects of algebra, namely group theory, universal algebra and related areas, to applications in several different areas of computer science.
From the computational side, the book aims to reflect the rapidly emerging area of algorithmic problems in algebra, their computational complexity and applications, including information security, constraint satisfaction problems, and decision theory.
The book gives special attention to recent advances in quantum computing that highlight the need for a variety of new intractability assumptions and have resulted in a new area called group-based cryptography.
F. Bassino, C. Nicaud, and P. Weil, Generic properties of subgroups of
free groups and finite presentations
C. S. Chum and X. Zhang, A new multi-server scheme for private information
retrieval
C. S. Chum, B. Fine, A. I. S. Moldenhauer, G. Rosenberger, and X. Zhang, On
secret sharing protocols
M. E. Habeeb, A verifiable secret sharing scheme using non-abelian groups
A. Kalka, Non-associative public-key cryptography
A. Kalka and M. Teicher, Non-associative key establishment protocols and
their implementation
D. Konig, M. Lohrey, and G. Zetzsche, Knapsack and subset sum problems in
nilpotent, polycyclic, and co-context-free groups
I. S. Moldenhauer, G. Rosenberger, and K. Rosenthal, On the Tits alternative
for a class of finitely presented groups with a special focus on symbolic
computations
A. Sale, Geometry of the conjugacy problem in lamplighter groups
A. Weiss, A logspace solution to the word and conjugacy problem of
generalized Baumslag-Solitar groups
S. Yuan, Cryptographic hash functions from sequences of lifted Paley graphs.
Delaram Kahrobaei, CUNY Graduate Center, City University of New York, NY.
Bren Cavallo, CUNY Graduate Center, City University of New York, NY.
David Garber, Holon Institute of Technology, Israel.
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