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According to the Tits conjecture proved by Crisp and Paris, [CP], thesubgroups of the braid group generated by proper powers of the Artin elementsare presented by the commutators of generators which are powers of commutingelements. Hence they are naturally presented as right-angled Artin groups.  The case of subgroups generated by powers of the band generators is moreinvolved. We show that the groups are right-angled Artin groups again, if allgenerators are proper powers with exponent at least 3. We also give apresentation in cases at the other extreme, when all generators occur withexponent 1 or 2, which is far from being that of a right-angled Artin group.

Presentations of subgroups of the braid group generated by powers of band generators