lamplighter group

noun

The restricted wreath product mathbf Z₂≀ mathbf Z.

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Meanings

nounlamplighter group (plural lamplighter groups)

plural lamplighter groups

  1. group theoryThe restricted wreath product mathbf Z₂≀ mathbf Z.

Origin

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.

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Cite this entry
APA

lamplighter group. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/lamplighter%20group

MLA

“lamplighter group.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/lamplighter%20group. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “lamplighter group,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/lamplighter%20group.

Source: lamplighter group on Wiktionary, CC BY-SA 4.0.