[GAP Forum] a multiplicative group generated by an indeterminate

[Igor Korepanov]

Dear Forum,

suppose  a  is an indeterminate over rationals and I want to create a group consisting of this  a  raised to all integer powers:


gap> a := Indeterminate( Rationals,"a" );
a
gap> g := Group( a );
#I  default `IsGeneratorsOfMagmaWithInverses' method returns `true' for [ a ]
<group with 1 generators>
gap> 


Now the question: does this mean that I should better do it another way? Or proceed bravely?

Also, is there a way to define the group of all nonzero rationals other than  GL(1,Rationals)  ?

Best,

Igor