Dear Mana,
Find attached is a function written by Alexander Hulpke for your purpose. Copy
it into "bin" and read it by GAP as
gap> Read("orderFrequency");
gap> s_5:=SymmetricGroup(IsPermGroup,5);
Sym( [ 1 .. 5 ] )
gap> orderFrequency(s_5);
[Order of element, Number of that order]=[ [ 1, 1 ], [ 2, 25 ], [ 3, 20 ],
[ 4, 30 ], [ 5, 24 ], [ 6, 20 ] ]
With best wishes,
Muhammad Shah
> Date: Mon, 14 May 2012 16:00:31 +0100
> From: mana_t...@yahoo.com
> To: fo...@gap-system.org
> Subject: [GAP Forum] Find the set of sizes of elements with the same order
>
> Dear Forum,
>
> Let pi _{e}(G) be the set of element orders of group G.
> Also let s_{i} be the number of elements of order i in G,
> and nse(G):={s_{i}|i in pi _{e}(G)}, the set of sizes of
> elements with the same order.
>
> Is there any code in GAP for find nse(G)?
>
> Thanks in advance,
>
> Mana
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