Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory object of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeJun 25th 2024
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexAdding table of contents and a link to the Wikipedia article Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/holomorph/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/holomorph/5">v5</a>, <a href="https://ncatlab.org/nlab/show/holomorph">current</a>

   Adding table of contents and a link to the Wikipedia article

   Anonymouse

   diff, v5, current

2. • CommentRowNumber2.
   • CommentAuthorDavidRoberts
   • CommentTimeJun 25th 2024
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItex> The holomorph occurs very naturally as the group of arrows of the 2-group (groupoid internal to Groups). I'm not sure what this sentence is trying to say. What 2-group, precisely?

   The holomorph occurs very naturally as the group of arrows of the 2-group (groupoid internal to Groups).

   I’m not sure what this sentence is trying to say. What 2-group, precisely?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 26th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexWhile I didn't write this, I suppose what is meant is the [[automorphism 2-group]] of $G$, in its strict incarnation corresponding to the crossed module $G \to Aut(G)$.

   While I didn’t write this, I suppose what is meant is the automorphism 2-group of $G$, in its strict incarnation corresponding to the crossed module $G \to Aut(G)$.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJun 26th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave re-written the entry <a href="https://ncatlab.org/nlab/revision/diff/holomorph/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/holomorph/6">v6</a>, <a href="https://ncatlab.org/nlab/show/holomorph">current</a>

   have re-written the entry

   diff, v6, current