Dear Forum, Dear Igor Korepanov, > 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?
The warning here is harmless -- it just means that GAP has not been told that this set will fulfill the group axioms and is cautious. However you will find very little (if any) functionality for the resulting group and will probably find it easier to work in the isomorphic FreeGroup(1) > > Also, is there a way to define the group of all nonzero rationals other than > GL(1,Rationals) ? This will not work, nor am I aware of any other method. A fundamental issue with it is that this is not a finitely generated group. Best, Alexander Hulpke -- Colorado State University, Department of Mathematics, Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA email: hul...@math.colostate.edu, Phone: ++1-970-4914288 http://www.math.colostate.edu/~hulpke _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
