Strict 2-Groups are Crossed Modules

Abstract

The 2-categories of strict 2-groups and crossed modules are introduced and their 2-equivalence is made explicit.

18 pages, xy-pic diagrams

References in corpus (3)

• Higher-Dimensional Algebra V: 2-Groups
• Group Objects and Internal Categories
• Pseudo Algebras and Pseudo Double Categories

Cited by in corpus (3)

• Categorified central extensions, étale Lie 2-groups and Lie's Third Theorem for locally exponential Lie algebras
• Integrating central extensions of Lie algebras via Lie 2-groups
• On the second cohomology group of a simplicial group