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Article #120

Re: Complete Groups / S_6

#120
From: Richard Pinch
Date: Tue, 29 Sep 1992 10:41
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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.
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From: rgep@emu.pmms.cam.ac.uk (Richard Pinch)
Subject: Re: Complete Groups / S_6
References: <1992Sep28.201204.13907@tamsun.tamu.edu>
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Message-ID: <1992Sep29.104154.1802@infodev.cam.ac.uk>
Summary: Automorphism of S6
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Date: Tue, 29 Sep 1992 10:41:54 GMT
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