English Explanatory Dictionary

lamplighter group

English dictionary entry

Meanings

noun
  1. The restricted wreath product mathbf Z₂≀ mathbf Z.

Word forms

lamplighter group lamplighter groups

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.

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