nLab symmetric 3-group



Group Theory

(,1)(\infty,1)-Category theory



A symmetric 3-group is the following equivalent structure

  1. A 3-group whose E1-algebra structure is equipped with a lift to to an E4-algebra structure.

  2. A 3-group which regarded as an ∞-group is equipped with the structure of an abelian ∞-group.

  3. A 3-group such that the delooping BG\mathbf{B}G is equipped with the structure of a braided 4-group?.

  4. A symmetric monoidal 2-category all whose objects are invertible under the tensor product.

Last revised on November 1, 2012 at 18:15:30. See the history of this page for a list of all contributions to it.