lamplighter group
Word Rarity
Very rare
Frequency: Zipf frequency 1.78 in modern English
27
Scrabble Score
16
Letters
3
Syllables
12
Unique Chars
Meaning
noun
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.