On Friday, October 2, 2015 at 5:02:43 AM UTC-7, vdelecroix wrote:
>
> important ingredient: there is no normal form in general! This is an 
> undecidable problem... there is no algorithm that takes as input a 
> presentation and outputs whether this group has more than one element. 
>
> Though, there are some results about specific presentations (e.g. only 
> one relation, small simplifications, etc). 
>

And, as far as Sage is concerned, we can easily do as well as gap for gap 
objects:

http://trac.sagemath.org/ticket/19016#comment:21

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