[GAP Forum] a multiplicative group generated by an indeterminate

Igor Korepanov paloff at ya.ru
Sun Mar 27 14:51:00 BST 2011


Sorry, GL(1,Rationals) appears not to work!

27.03.2011, 17:23, "Igor Korepanov" <paloff at ya.ru>:
> 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
>
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