# lamplighter group

> English word · Noun

## Definitions
1. The restricted wreath product mathbf Z₂≀ mathbf Z.

## Etymology
The group can be viewed as acting on a doubly infinite sequence of street lamps …,l_-2,l_-1,l_0,l_1,l_2,l_3,… each of which may be on or off, with a lamplighter standing at some lamp l_k.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/lamplighter-group