[GAP Forum] Plz send the gap conjecture for the following

[Stephen Linton]

Dear Raja Rawat,

I’m not sure what you mean “the gap conjecture”.

Anyway if you look at chapter 50 of the GAP reference manual http://www.gap-system.org/Manuals/doc/ref/chap0.html
you will find the DihedralGroup function, while in chapter 39 you will find the general functions for common group operations such as factor groups and centres.

So you can put these together in a simple function like  

foo := function(n) local d; d := DihedralGroup(2*n); return d/Centre(d); end;

and then apply foo to any n you like to get the group you describe.

I hope this helps, but I would encourage you to read the manual and work through the tutorial.

	Yours

		Steve Linton

> On 29 Sep 2019, at 18:06, Raja Rawat <rawatraja1989 at gmail.com> wrote:
> 
> factor group Dn/Z(Dn), where n is even and greater than or equal to 8 and
> Dn is the dihedral group of order 2n and Z(Dn) is the centre
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