lamplighter group

English

Etymology

The group can be viewed as acting on a doubly infinite sequence of street lamps $\dots ,l_{-2},l_{-1},l_{0},l_{1},l_{2},l_{3},\dots$ each of which may be on or off, with a lamplighter standing at some lamp $l_{k}$.

Noun

lamplighter group (plural lamplighter groups)

1. (group theory) The restricted wreath product $\mathbf {Z} _{2}\wr \mathbf {Z}$.