Dear GAP users, I have the following question on inputting symmetrised relations in a group.
Let G be a group generated by x_1, x_2, x_3, x_4 with one relation for example x_1*x_2*x_3^(-1)*x_4^(-2). Now I wish to let the symmetric group S_4 on 4 letters acts on this relation and therefore obtain a total of 4!=24 relators. For example, one of the obtained relator is x_2*x_3*x_4^(-1)*x_1^(-2). Is there any easy way for me to write all 24 relators in GAP? Thank you! Minghui _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
