Hi GAP team, For the abstract group SmallGroup(8,1), I noticed the following related information:
gap> g:=SmallGroup(8,1); <pc group of size 8 with 3 generators> gap> Elements(g); [ <identity> of ..., f1, f2, f3, f1*f2, f1*f3, f2*f3, f1*f2*f3 ] gap> SmallGeneratingSet(g); [ f1 ] gap> StructureDescription(g); "C8" As you can see, it's a cyclic group of order 8. So, I wonder why the elements don't look like this: [ <identity> of ..., f1, f1^2, f1^3, f1^4, f1^5, f1^6, f1^7 ] Regards, -- Assoc. Prof. Hongsheng Zhao <hongyi.z...@gmail.com> Theory and Simulation of Materials Hebei Vocational University of Technology and Engineering No. 473, Quannan West Street, Xindu District, Xingtai, Hebei province _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
