[GAP Forum] all Sylow Subgroups

[t***@math.bu.edu]

Is there a command to yield *all* the Sylow p-subgroups of a given group in GAP?
I know about the SylowSubgroups command, but that picks just one for a given prime.

I could code it by hand using a transversal of the normalizer, but I was
wondering if there is a built-in way to get it?

Thanks.

[Stefan Kohl]

You can get all Sylow p-subgroups of a given group G with the following function:

SylowSubgroups := function ( G, p )
return AsList(SylowSubgroup(G,p)^G);
end;


Hope this helps,


Stefan


-----------------------------------------------------------------------------
Dr. Stefan Kohl, https://stefan-kohl.github.io/
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________________________________
From: ***@math.bu.edu <***@math.bu.edu>
Sent: Friday, April 6, 2018 12:05:50 AM
To: ***@gap-system.org
Subject: [GAP Forum] all Sylow Subgroups


Is there a command to yield *all* the Sylow p-subgroups of a given group in GAP?
I know about the SylowSubgroups command, but that picks just one for a given prime.

I could code it by hand using a transversal of the normalizer, but I was
wondering if there is a built-in way to get it?

Thanks.