# nLab abelian 3-group

Contents

group theory

### Cohomology and Extensions

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

(∞,1)-category theory

# Contents

## Definition

An abelian 3-group is an abelian infinity-group which is a 3-group.

## Examples

If $(\mathcal{C}, \otimes)$ is a symmetric monoidal 2-category then its Picard 3-group is an abelian 3-group.

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