This is from a book on group theory:
What is the role of $F$ here? $F$ seem to have nothing to do with $G$. Is perhaps $G$ the presentation $G=F/W^F$?
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2You have to have $F$ in order to make sense of $w$. – Randall Jan 17 '20 at 13:28
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2If you take any group instead of a free one there are going to be non-trivial relations among its generators. That would turn making sense of word something very hard. – DonAntonio Jan 17 '20 at 13:30
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I see. Thanks. [EMPTY] – stf91 Jan 17 '20 at 14:01
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Which book are you referring to? – Shaun Jan 17 '20 at 15:44
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1Derek Robinson, A Course in the Theory of Groups, 2nd edition. – stf91 Jan 17 '20 at 19:48