[seqfan] Re: Symmetric group S_n as product of at most A225788(n) cyclic subgroups

[W. Edwin Clark]

A023893 counts abelian subgroups and A009490 counts cyclic subgroups. There
are
plenty of abelian subgroups of S_n that are not cyclic.

On Fri, May 24, 2013 at 5:42 AM, Richard J. Mathar <mathar at mpia-hd.mpg.de>wrote:

> On step back concerning
> http://list.seqfan.eu/pipermail/seqfan/2013-May/011206.html :
>
> Which of the nonisomorphic Abelian subgroups of S_n are counted
> in A023893 but not in A009490? (Does A009490 count only
> nonisomorphic subgroups of different order, or does the g.f. mean
> that the group of order 1 is overcounted? )
> The titles suggest that the sequences are the same, but they
> obviously are not.
>
> Richard Mathar
>
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