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Groupprops β

Braid group:B3

Group properties

Most of the properties below can be explained by the fact that the group admits free group:F2 as a subquotient.

Property Satisfied? Explanation Comment
cyclic group No
abelian group No
nilpotent group No
solvable group No
simple group No
finitely generated group Yes
2-generated group Yes
finitely presented group Yes
Noetherian group No