[GAP Forum] Maximal length chain of normal subgroups

Ken W Smith ken.w.smith at cmich.edu
Wed May 17 12:04:49 BST 2006

	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...)

Thanks in advance for any help you can provide.


Ken W. Smith, Professor of Mathematics, Central Michigan University
989-854-0185 (Cell)
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       22 Chase Gayton Terrace, Apt 1518
       Richmond, VA 23238-6526
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