PrintSisyphosInputPGroup( P, name, type )
prints the presentation of the finite p-group P in a format readable by the SISYPHOS system. P must be a polycyclically or freely presented group.
In SISYPHOS, the group will be named name.
If P is polycyclically presented the i-th generator gets the name
In the case of a free presentation the names of the generators are not
changed; note that SISYPHOS accepts only generators names beginning
with a letter followed by a sequence of letters, digits,underscores
type must be either
"pcgroup" or the prime dividing the order of
In the former case the SISYPHOS object has type
pcgroup, P must
be polycyclically presented for that.
In the latter case a SISYPHOS object of type
group is created.
For avoiding computations in freely presented groups, is neither
checked that the presentation describes a p-group, nor that the
given prime really divides the group order.
See the SISYPHOS manual~Wur93 for details.
gap> g:= SolvableGroup( "D8" );; gap> PrintSisyphosInputPGroup( g, "d8", "pcgroup" ); d8 = pcgroup(2, gens( g1, g2, g3), rels( g1^2 = 1, g2^2 = 1, g3^2 = 1, [g2,g1] = g3)); gap> q8 := FreeGroup ( 2 );; gap> q8.relators := [q8.1^4,q8.2^2/q8.1^2,Comm(q8.2,q8.1)/q8.1^2];; gap> PrintSisyphosInputPGroup ( q8, "q8", 2 ); #I PQuotient: class 1 : 2 #I PQuotient: Runtime : 0 q8 = group (minimal, 2, gens( f.1, f.2), rels( f.1^4, f.2^2*f.1^-2, f.2^-1*f.1^-1*f.2*f.1^-1));
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