Article View: sci.math.research
Article #120Re: Complete Groups / S_6
From: Richard Pinch
Date: Tue, 29 Sep 1992 10:41
Date: Tue, 29 Sep 1992 10:41
8 lines
1114 bytes
1114 bytes
According to the "Atlas of finite groups" by Conway et al.
"The outer automorphism of S_6 interchanges the 15 duads ab (pairs)
with the 15 synthemes ab.cd.ef (trisections), so interchanges the
6 points a (which could be specified by 5 duads ab,ac,ad,ae,af)
with the 6 totals (sets of 5 synthemes containing all duads)."
Richard Pinch, Dept of Pure Mathematics, University of Cambridge
16 Mill Lane, Cambridge CB2 1SB, U.K.
Technical Details
Message-ID:
<1992Sep29.104154.1802@infodev.cam.ac.uk>Path:
arc1-ca.pugleaf.net!sparky!uunet!spool.mu.edu!uwm.edu!ux1.cso.uiuc.edu!news.cso.uiuc.edu!usenetReferences:
<1992Sep28.201204.13907@tamsun.tamu.edu>Show Full Headers
Complete Article Headers
Newsgroups: sci.math.research Path: arc1-ca.pugleaf.net!sparky!uunet!spool.mu.edu!uwm.edu!ux1.cso.uiuc.edu!news.cso.uiuc.edu!usenet From: rgep@emu.pmms.cam.ac.uk (Richard Pinch) Subject: Re: Complete Groups / S_6 References: <1992Sep28.201204.13907@tamsun.tamu.edu> Nntp-Posting-Host: emu.pmms.cam.ac.uk Message-ID: <1992Sep29.104154.1802@infodev.cam.ac.uk> Summary: Automorphism of S6 Sender: Daniel Grayson <dan@math.uiuc.edu> X-Submissions-To: sci-math-research@uiuc.edu Organization: DPMMS University of Cambridge X-Administrivia-To: sci-math-research-request@uiuc.edu Approved: Daniel Grayson <dan@math.uiuc.edu> Date: Tue, 29 Sep 1992 10:41:54 GMT Lines: 9