The commutator subgroup of the braid group is generated by two elements
نویسندگان
چکیده
For n n at least 7 and equal to 5, we give generating sets of size 2 for the commutator subgroup braid group on strands. These are smallest possible cardinality. 4 or 6, three. We also prove that strands cannot be generated by fewer than three elements.
منابع مشابه
The Commutator Subgroup of a Group Generated by Two Operators.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2023
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15091