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Hi guys, I am wondering how to efficiently do the following two things in sage 1. add a generator h to a existing group G to creat a new group e.g. h = (3,4) G = PermutationGroup([(1,2),(1,3)]) and new group N have generator [(1,2),(1,3),(3,4)] I can do this by using G.gens() and add (3,4) to the list and call PermutationGroup(), but it looks awkward, is there a more efficient way?

1. create a new group from generators of two existing group G = PermutationGroup([(1,2),(1,3)])
   H = PermutationGroup([(3,4)]) How to get new group N have generator [(1,2),(1,3),(3,4)] Currently I can do this by : N = PermutationGroup(G.gens()+H.gens())

Thanks, Kevin

Hi guys, I am wondering how to efficiently do the following two things in sage

Hi guys, I am wondering how to efficiently do the following two things in sage

1. add a generator h to a existing group G to creat a new group e.g. h = (3,4) G = PermutationGroup([(1,2),(1,3)]) and new group N have generator [(1,2),(1,3),(3,4)] I can do this by using G.gens() and add (3,4) to the list and call PermutationGroup(), but it looks awkward, is there a more efficient way?

2. create a new group from generators of two existing group G = PermutationGroup([(1,2),(1,3)])
   H = PermutationGroup([(3,4)]) How to get new group N have generator [(1,2),(1,3),(3,4)] Currently I can do this by : N = PermutationGroup(G.gens()+H.gens())

Thanks, Kevin

Hi guys, I am wondering how to efficiently do the following two things in sage

1. add a generator h to a existing group G to creat a new group e.g. h = (3,4) G = PermutationGroup([(1,2),(1,3)]) and new group N have generator [(1,2),(1,3),(3,4)] I can do this by using G.gens() and add (3,4) to the list and call PermutationGroup(), but it looks awkward, is there a more efficient way?

2. create a new group from generators of two existing group G = PermutationGroup([(1,2),(1,3)])
   H = PermutationGroup([(3,4)]) How to get new group N have generator [(1,2),(1,3),(3,4)] Currently I can do this by : N = PermutationGroup(G.gens()+H.gens())

Thanks, Kevin

Hi guys, I am wondering how to efficiently do the following two things in sage Sage

1. add a generator h to a existing group G to creat create a new group group, e.g. from

   sage: h = (3,4)  (3,4)
   sage: G = PermutationGroup([(1,2),(1,3)]) and PermutationGroup([(1,2),(1,3)])
   

   how to get a new group N have generator [(1,2),(1,3),(3,4)] with generators [(1,2),(1,3),(3,4)].

   I can do this by using G.gens() G.gens() and add (3,4) adding (3,4) to the list and call PermutationGroup(), calling PermutationGroup(), but it looks awkward, is there a more efficient way?

2. create a new group from generators of two existing group group, e.g. from

   sage: G =  PermutationGroup([(1,2),(1,3)]) 
    PermutationGroup([(1,2),(1,3)])
   sage: H =  PermutationGroup([(3,4)])
   How 

   how to get a new group N have generator [(1,2),(1,3),(3,4)] with generators [(1,2),(1,3),(3,4)]?

   Currently I can do this by : N = PermutationGroup(G.gens()+H.gens())

Thanks, Kevin