lamplighter group
nounEtymology 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.
1
Group theory, Mathematics, Sciences The restricted wreath product mathbf Z₂≀ mathbf Z.