Labelled oriented graph groups and crossed modules

Nicholas David Gilbert

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
58 Downloads (Pure)


A labelled oriented graph (LOG) group is a group given by a presentation constructed in a certain way from a labelled oriented graph: examples include Wirtinger presentations of knot groups. We show how to obtain generators for the Schur Multiplier H2(G) of a LOG group from the underlying LOG, and by exhibiting the n-string braid group Bn as a LOG group, we compute H2(Bn).
Original languageEnglish
Pages (from-to)365–371
Number of pages7
JournalArchiv der Mathematik
Issue number4
Early online date10 Jan 2017
Publication statusPublished - Apr 2017


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