Abstract. We investigate the average-case complexity of decision problems for finitely generated groups, in particular the word and membership problems. Using our recent results on...
Ilya Kapovich, Alexei G. Myasnikov, Paul Schupp, V...
Abstract. We extend our recent work on set-theoretic solutions of the YangBaxter or braid relations with new results about their automorphism groups, strong twisted unions of solut...
We give an overview on twisting commutative algebraic groups and applications to discrete log based cryptography. We explain how discrete log based cryptography over extension fie...
Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established prot...