Sunday, 25 April 2010

gr.group theory - decreasing chain of subgroups in the Heisenberg group

Assuming this is the discrete Heisenberg group H=H3(mathbbZ), as in my comment above, then here is another way of looking at Mariano's answer (I think). Take any sequence of positive integers
n1<n2<dots where nivertni+1 for all i, and put



Hi=H3(nimathbbZ)



(Mariano's answer corresponds to taking ni=2i.)

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