symmetric 2-group in nLab
Contents
Context
Group Theory
- group, ∞-group
- group object, group object in an (∞,1)-category
- abelian group, spectrum
- super abelian group
- group action, ∞-action
- representation, ∞-representation
- progroup
- homogeneous space
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Related concepts
(∞,1)(\infty,1)-Category theory
Background
Basic concepts
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equivalences in/of (∞,1)(\infty,1)-categories
Universal constructions
Local presentation
Theorems
Extra stuff, structure, properties
Models
Contents
Definition
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symmetric 2-group
References
Under the name “symmetric cat-groups” and thought of as a sub-class of braided monoidal categories, the notion of braided 2-groups is considered in:
- M. Bullejos, Pilar Carrasco, Antonio M. Cegarra, Cohomology with coefficients in symmetric cat-groups. An extension of Eilenberg–MacLane’s classification theorem, Mathematical Proceedings of the Cambridge Philosophical Society , Volume 114 , Issue 1 , July 1993 , pp. 163 - 189 (doi:10.1017/S0305004100071498)
Last revised on May 16, 2022 at 07:27:55. See the history of this page for a list of all contributions to it.