In his e-mail of 29-Sep-92 Eamonn O'Brien asks
If one has defined a permutation group in GAP,
is there a *sensible* way to obtain the degree
of this group?
There are two functions that are related to this.
One is 'PermGroupOps.LargestMovedPoint', which takes a permutation group
and returns the largest moved point. This what was called the degree of
a permutation group in GAP 2.4.
The other function is 'DegreeOperation', which returns the number of
points moved by a group.
For an example take this definition
gap> a5 := Group( (1,3,4), (1,3,4,5,6) );;
gap> PermGroupOps.LargestMovedPoint( a5 );
gap> DegreeOperation( a5, [1..PermGroupOps.LargestMovedPoint(a5)] );
Martin Sch"onert, Martin.Schoenert@Math.RWTH-Aachen.DE, +49 241 804551
Lehrstuhl D f"ur Mathematik, Templergraben 64, RWTH, D 51 Aachen, Germany