[sage-support] Re: How would I list just the 3 cycles in AlternatingGroup()
I must be missing something. Why can't you just check the order of the element? On Thu, May 14, 2009 at 7:53 PM, jimfar wrote: > > I can generate a list from any given group, but how would I go about > generating a list of just 3 or 5 cycles? > > > > --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: How would I list just the 3 cycles in AlternatingGroup()
I can find the order of the element, but I am looking to generate a list of all of the 3 cycles in something like AlternatingGroup(5) where the list will not go on for too long. On May 14, 5:04 pm, David Joyner wrote: > I must be missing something. Why can't you just check the order of the > element? > > On Thu, May 14, 2009 at 7:53 PM, jimfar wrote: > > > I can generate a list from any given group, but how would I go about > > generating a list of just 3 or 5 cycles? --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: How would I list just the 3 cycles in AlternatingGroup()
Why doesn't the obvious 1-liner [x for x in AlternatingGroup(5) if x.order()==3] work? Again, am I missing something? On Thu, May 14, 2009 at 8:57 PM, jimfar wrote: > > I can find the order of the element, but I am looking to generate a > list of all of the 3 cycles in something like AlternatingGroup(5) > where the list will not go on for too long. > > On May 14, 5:04 pm, David Joyner wrote: >> I must be missing something. Why can't you just check the order of the >> element? >> >> On Thu, May 14, 2009 at 7:53 PM, jimfar wrote: >> >> > I can generate a list from any given group, but how would I go about >> > generating a list of just 3 or 5 cycles? > > > --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: How would I list just the 3 cycles in AlternatingGroup()
Thanks, I was confusing myself with the definition of the order of an element with order of the cycle. On May 14, 6:52 pm, David Joyner wrote: > Why doesn't the obvious 1-liner > > [x for x in AlternatingGroup(5) if x.order()==3] > > work? Again, am I missing something? > > On Thu, May 14, 2009 at 8:57 PM, jimfar wrote: > > > I can find the order of the element, but I am looking to generate a > > list of all of the 3 cycles in something like AlternatingGroup(5) > > where the list will not go on for too long. > > > On May 14, 5:04 pm, David Joyner wrote: > >> I must be missing something. Why can't you just check the order of the > >> element? > > >> On Thu, May 14, 2009 at 7:53 PM, jimfar wrote: > > >> > I can generate a list from any given group, but how would I go about > >> > generating a list of just 3 or 5 cycles? --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: How would I list just the 3 cycles in AlternatingGroup()
Dear Jim, On May 15, 4:03 am, jimfar wrote: > Thanks, I was confusing myself with the definition of the order of an > element with order of the cycle. Are you really confusing it? As much as I understood, you only want those elements that have a single (!) cycle of length 3. Then, order() is the wrong thing to ask for! sage: G=PermutationGroup([((1,2,3),(4,5,6))]) sage: G.0 (1,2,3)(4,5,6) sage: G.0.order() 3 So, G.0 is not a 3-cycle, but it is of order 3. I don't know if there is better way to test the number of cycles, but you could do: [x for x in AlternatingGroup(5) if x.order()==3 and len(x.cycles()) ==1] The difference becomes apparent when you do it for AlternatingGroup (6), rather than AlternatingGroup(5). Cheers, Simon --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: How would I list just the 3 cycles in AlternatingGroup()
On Fri, May 15, 2009 at 2:36 AM, wrote: > > Dear Jim, > > On May 15, 4:03 am, jimfar wrote: >> Thanks, I was confusing myself with the definition of the order of an >> element with order of the cycle. > > Are you really confusing it? > > As much as I understood, you only want those elements that have a > single (!) cycle of length 3. Then, order() is the wrong thing to ask > for! > > sage: G=PermutationGroup([((1,2,3),(4,5,6))]) > sage: G.0 > (1,2,3)(4,5,6) > sage: G.0.order() > 3 > > So, G.0 is not a 3-cycle, but it is of order 3. > > I don't know if there is better way to test the number of cycles, but > you could do: > [x for x in AlternatingGroup(5) if x.order()==3 and len(x.cycles()) > ==1] > > The difference becomes apparent when you do it for AlternatingGroup > (6), rather than AlternatingGroup(5). The point is that for Alt(5) it is a simple one liner! Of course, for more complicated groups, it is not the same thing as order=3 so you need to use len(x.cycle_tuples())==1. > > Cheers, > Simon > > > > --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
