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- W2000602179 abstract "According to the Tits conjecture proved by Crisp and Paris, [CP], the subgroups of the braid group generated by proper powers of the Artin elements are presented by the commutators of generators which are powers of commuting elements. Hence they are naturally presented as right-angled Artin groups. The case of subgroups generated by powers of the band generators is more involved. We show that the groups are right-angled Artin groups again, if all generators are proper powers with exponent at least 3. We also give a presentation in cases at the other extreme, when all generators occur with exponent 1 or 2, which is far from being that of a right-angled Artin group." @default.
- W2000602179 created "2016-06-24" @default.
- W2000602179 creator A5023933752 @default.
- W2000602179 date "2009-04-09" @default.
- W2000602179 modified "2023-09-27" @default.
- W2000602179 title "Presentations of subgroups of the braid group generated by powers of band generators" @default.
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