[comp.theory] Heuristic for minimum-length generator sequence?

gooley@sunb6 (Markian "Party Mineral" Gooley) (09/14/90)

[Reposted from sci.math]

"Given a set of generators of a permutation group G and a target permutation
P, find a shortest generator sequence realizing P."

Okay, this is well known to be NP-hard.  Are there any good heuristics for
solving instances of it?  What about for special cases -- say if G is
nonabelian, or simple, or (say) the alternating group of order n?

Mark.
gooley@cs.uiuc.edu