[GAP Forum] Schur Multiplier
hulpke at math.colostate.edu
Tue Nov 16 17:48:52 GMT 2004
> I would like to ask that how we can compute the Schur Multiplier of a given finite group by Gap.
Let me just add to Derek Holt's response, that GAP also has a built-in
routine for multiplier calcultation. The commands are
AbelianInvariantsMultiplier (structure of the multiplier) and
EpimorphismSchurCover (map from a covering group, represented as finitely
presented group, onto original group)
[ 2 ]
[ f1, f2, f3, f4, f5 ] -> [ (1,2), (2,3), (3,4), (4,5), (5,6) ]
The algorithms used are similar to the ones used by the `cohomolo' package,
the main advantage of the library implementation is that it does not require
an external program and thus can also run under Windows or if the `cohomolo'
package is not installed. On the other hand I would expect the `cohomolo'
package to run faster.
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