> < ^ Date: Tue, 29 Sep 1992 12:55:47 +0100
> < ^ From: Martin Schoenert <martin.schoenert@math.rwth-aachen.de >
< ^ Subject: Re: permutation gp degrees

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

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