[GAP Forum] Partitions and orbits of automorphism groups

Sven Reichard Sven.Reichard at tu-dresden.de
Thu Jul 11 08:54:07 BST 2013


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Am 11.07.2013 09:43, schrieb Matan Ziv-Av:
> On Thu, 11 Jul 2013, Ebrahim Ghorbani wrote:
> 
>> Dear Forum,
>> 
>> I have a partition of the vertex set of a vertex-transitive graph
>> G. I guess that this partition are the orbit partition of some
>> subgroup of Aut(G). Is there any way to find out this?
> 
> Find the stabilizer (as a tuple of sets) of the partition in
> Aut(G). If the orbits of any subgroup gives this partition, then
> the stabilizer also does.
> 
> 

Of course Matan is right; we need to consider tuples of sets, not sets
of sets as I said earlier.

Sven.

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