Hi Alexander,

yes -- thanks! (As several people from the GAP forum pointed out to me in private email, ChiefSeries(g); will do.)

ken
c. GAP forum
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On May 17, 2006, at 10:48 AM, Alexander Hulpke wrote:

Dear Ken,

On May 17, 2006, at 5:04 AM, Ken W Smith wrote:

Hi,
Is there a GAP command (or series of commands) which, given a finite group G, would return a chain 1=G0 < G1 < G2 < ... < Gn=G of normal subgroups of G, where the length, n, of the chain, is as large as possible? (I've written a rather naive procedure to do that, using NormalSubgroups(G), but it gets computationally intensive if the group has hundreds of normal subgroups.... and I suspect there is a much better procedure out there...)

Shouldn't any chief series be good by Jordan-Hoelder?

   Alexander



Thanks in advance for any help you can provide.

ken

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Ken W. Smith, Professor of Mathematics, Central Michigan University
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---
Ken W. Smith, Professor of Mathematics, Central Michigan University
989-854-0185 (Cell)
http://www.cst.cmich.edu/users/smith1kw
Address until June 4, 2006:
      22 Chase Gayton Terrace, Apt 1518
      Richmond, VA 23238-6526
Address after June 4, 2006:
      616 S. Pine St.
      Mt. Pleasant, MI 48858

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