CARAT Introduction / Programs / Torsionfree

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## Program Torsionfree

### Usage

    Torsionfree 'file' [-t]

file: bravais_TYP containg generators for a space group

### Description

Decides whether the given space group is a torsion free space group.
If so, it additionally decides whether it has trivial center.

### Options

    -t    : Output for TeX. Do not use!

### Remarks

CAUTION: The program assumes that the translation lattice is in fact Zn. This is not checked.

See also for Order.

### Examples

1. Find the fundamental group of the Handtsche-Wendt manifold!
2. Find all Z-classes, affine classes and torsion free space groups in a given Q-class.

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