# Multicoset for a tuple of subgroups

From Groupprops

## Contents |

BEWARE!This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

## Definition

Let be a group and be an -tuple of subgroups of . Consider the natural action of on the coset space . The orbits under this action are termed the multicosets for the tuple of subgroups.

## Importance

Multicoset generalizes the notion of left coset and the more general notion of double coset, to a tuple of subgroups for .