How to simplify element in FPG?

Question:How to simplify element in FPG?

Posted: GaloisGauss 10 Product: Maple 18

October 03 2015

1. Take a group for example. First we can set up a group G by

G:=<<a,b>|<a²=1,b³=1,(a.b)²=1>>. Actually,G=S₃. So how to simplify a long production,

such as "a.b.b.a.b.b.a.b"?

2. How to define a finitely presented algebra over some field, such as the enveloping algebra

or quantum group of a Lie algebra? And moreover how to do the similar computation about

simplifying a long production?

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