#
nLab

anabelian group

### Context

#### Group Theory

**group theory**

### Classical groups

### Finite groups

### Group schemes

### Topological groups

### Lie groups

### Super-Lie groups

### Higher groups

### Cohomology and Extensions

# Contents

## Idea

An *anabelian group* is a group that is “far from being an abelian group” in a precise sense:

## Definition

It is a non-trivial group for which every finite index subgroup has trivial center.

Revised on January 11, 2015 06:46:24
by

Tim Porter
(2.26.28.80)