[GAP Forum] IsPNilpotent for nonsolvable groups

[Benjamin Sambale]

Dear GAP users,

I got the following error message:

IsPNilpotent(GL(3,2),2);
Error, no method found! For debugging hints type ?Recovery from NoMethodFound
Error, no 3rd choice method found for `HallSubgroupOp' on 2 arguments

So, it seems that IsPNilpotent doesn't work for nonsolvable groups, since it relies on HallSubgroup. Wouldn't it be easier to use the following code?

IsPNilpotent:=function(G,p)
if AsGroup(Filtered(G,x->Order(x) mod p<>0))=fail then return false; else return true; fi;
end;

Best wishes,
Benjamin 
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