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

1. Template:Lb The restricted wreath product ${𝐙}_2\wr 𝐙$.