Dear Siddhartha, I think that the commands: ClassMultiplicationCoefficient <https://www.gap-system.org/Manuals/doc/ref/chap71.html#X7E2EA9FE7D3062D3> and PowerMap <https://www.gap-system.org/Manuals/doc/ref/chap73.html#X781FAA497E3B4D1A> can help with your task.
Sincerely, Fernando. El lun., 27 ene. 2020 a las 8:50, Siddhartha Sarkar (<siddharth...@gmail.com>) escribió: > Dear forum, > > Consider the group L_3(2) which is generated by the following two matrices: > > X = [1,1,0; 0,1,0; 0,0,1], Y = [0,0,1; 1,0,0; 0,1,0] > > of order 2 and 3 whose product has order 7. Now L_3(2) has two order 7 > classes 7A and 7B. > > (1) Is it possible to compute in GAP in which conjugacy class the product > XY goes to? > > (2) Secondly, I wish to pick an arbitrary element either from 7A or from > 7B, look at its various powers and check whether these goes in the class > containing XY. How is it done in GAP? > > I can see that the SmallGroup in GAP stores the information on conjugacy > classes in a very different way. (I do not have access to MAGMA, by the > way.) > > Regards, > Siddhartha > _______________________________________________ > Forum mailing list > Forum@gap-system.org > https://mail.gap-system.org/mailman/listinfo/forum > _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
