Dear Forum,

I came across a necessity to convert a mapping defined by
MappingByFunction into a permutation. Is there any GAP-function to do
it?

My particular example arises when I want to define the group
$G=P\Gamma L(n,q)$
in its action on the points of projective space $PG(n,q)$.
It is straightforward to get $PGL(n,q)$ and the extra mapping
f (Frobenius automorphism) needed to generate $G$.
However f is given as MappingByFunction and I don't see a regular
way to convert f into a permutation.

Best regards,
Dima

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Dmitrii V. Pasechnik
RIACA/CAN
419 Kruislaan
1098 VA Amsterdam
The Netherlands
phone: +31 20 560 8490
fax:   +31 20 560 8448
email: dima@can.nl