This list of orders is called the order classes of a group G.
The GAP code to compute this is
Collected(List(G,Order));
These are invariants for finite abelian groups. But not so otherwise.
Robert F. Morse
On Mon, May 14, 2012 at 5:00 PM, mana Tari <mana_t...@yahoo.com> wrote:
> 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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