show · group.schur_multiplier all knowls · up · search:

If GG is a finite group then the Schur multiplier of GG is the homology group H2(G,Z)H_2(G, \Z). It is the maximal kernel of a stem extension of GG. In the data, the Schur multiplier is represented as a list of invariant factors; e.g., [2,4,12] corresponds to the abelian group C2×C4×C12C_2 \times C_4 \times C_{12}.

Authors:
Knowl status:
  • Review status: reviewed
  • Last edited by John Voight on 2023-07-11 16:28:12
Referred to by:
History: (expand/hide all) Differences (show/hide)