[GAP Forum] Subgroups of prime power elements

[Joe Bohanon]

You want Agemo(G,p^k)

Joe

On Sun, Aug 28, 2011 at 7:52 PM, Sandeep Murthy
<sandeepr.murthy at gmail.com>wrote:

> Dear Forum members,
>
> if G is a p-group, could I please know what commands I must use to
> define the subgroup of G generated by all p^th powers of elements of
> G, and also the subgroup of G generated by all elements of order p?
> More generally, how can one define in G the subgroup generated by
> p^k th powers of its elements, and the subgroup generated by its
> elements of order p^k?
>
> For my purposes, the groups G I am studying are nonabelian
> 2-groups.
>
> Sincerely, Sandeep.
>
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