Note on residual finiteness of Artin groups

It is also an opportunity to prove three new results concerning these questions: (1) if all free of infinity Artin-Tits groups are torsion free, then all Artin-Tits groups will

Abstract We prove that the conjugacy problem in right-angled Artin groups (RAAGs), as well as in a large and natural class of subgroups of RAAGs, can be solved in linear-time..

One of the families of groups where the interaction between algebraic and geometric techniques has been most fruitful is the family of Artin groups, also known as Artin- Tits groups

We say that a monoid M satisfies the right (resp., left ) 3-Ore condition if (4.14) if three elements of M pairwise admit a common right (resp., left) multiple,.. then they admit

We show that the double reversing algorithm proposed by Dehornoy in [3] for solv- ing the word problem in the braid group can also be used to recognize the conjugates of powers of

Artin–Tits presentations of spherical type (also known as of finite type), that is, those such that the associated Coxeter group is finite [18], provide natural test-cases:

As we saw in the proof of Proposition 32, it suffices to study the subsystems obtained from equation (34) that correspond to the orbits of the action of conjugation by δ.. This

Using Theorem 25, we now identify these groups with those given in the classification of 4-dimensional almost-Bieberbach groups with 2-step nilpotent sub- group given in [De,