[seqfan] Re: Symmetric groups

[Neil Sloane]

I would guess that the question has a negative answer for all n >= 4

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


On Sun, Nov 27, 2016 at 4:14 PM, Frank Adams-Watters <franktaw at netscape.net>
wrote:

> If n divides m!, does the symmetric group S_m always have a subgroup of
> order n?
>
> If so, a comment should be added to A002034 that a(n) is the genus of the
> smallest symmetric group with a subgroup of order n. If not, where is the
> first exception? (8 in S_4?) Is the sequence so described in the OEIS? If
> not, it should be added.
>
> Franklin T. Adams-Watters
>
>
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