Labelled oriented graph groups and crossed modules

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Abstract

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
Volume108
Issue number4
Early online date10 Jan 2017
DOIs
Publication statusPublished - Apr 2017

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