Let $G$ be the free abelian group generated by 3 generators, $a$, $b$, $c$.
Technically it should be written as $\langle a,b,c\mid ab=ba, ac=ca, bc=cb\rangle$.
Is there a shorter version of the above notation (that specifies the generators)? That is, we wish to specify that the generators are $a,b,c$.
In particular, is it ever acceptable to write just $\langle a,b,c\rangle$ if the context is clear?