> < ^ Date: Wed, 14 Apr 1993 11:25:08 +0200
> < ^ From: Stephan Rosebrock <rosebrock@ph-karlsruhe.de >
> < ^ Subject: Re: maps of fin pres into symmetric groups

Thank you, Jacob, for your help with homomorphisms in GAP. I have
still some questions:
You are right, I am not only interested in injective
homomorphisms, but rather all of them. My problem is that the
groups where I look for homomorphic images are not finite.
The groups are finitely generated and all relators have the
form: a b = b c for generators a,b,c. But there is certainly
still an algorithm for detecting all homomorphic images of such
a group G to a given symmetric group S: There are only finitely
many possibilities in mapping the generators of G to the
generators of S and one such possibility describes a map
I could not get the example Jacob sent to work, because
the group g1 was not defined.

Stephan Rosebrock


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