Can you compare Length(x^-1*w) with Length(y^-1*w)?

f:= FreeGroup("x", "y");
AssignGeneratorVariables(f);
w:=Random(f);
Length(x^-1*w);

Best wishes,
Benjamin

German Combariza schrieb:
Dear Forum, I have a naive question that I really appreciate if you can help
me.

In the free group group

f:= FreeGroup("x", "y");

I have a element w. How Can ask to GAP if   w=x*(something) or
y*(something).

I need to split the word w.

Thanks.
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