Abstract. In this paper we discuss the word normalization problem in pc presented finite supersolvable groups: given two group elements a and b in normal form the normal form of th...
We show that the following problems are decidable in rank 2 free groups: does a given finitely generated subgroup H contain primitive elements? and does H meet the automorphic or...
It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word reversings can increase the length of a...
A central problem in historical linguistics is the identification of historically related cognate words. We present a generative phylogenetic model for automatically inducing cogn...
Abstract. We say the endomorphism problem is solvable for an element W in a free group F if it can be decided effectively whether, given U in F , there is an endomorphism φ of F ...