Jevons Group? A039754
Gordon Royle
gordon at csse.uwa.edu.au
Tue Apr 13 15:52:02 CEST 2004
The sequence
http://www.research.att.com/projects/OEIS?Anum=A039754
counts the number of orbits that the automorphism group of the n-cube
has on subsets of the vertex set of the n-cube.
These subsets have various other interpretations, for example as
boolean functions, where equivalence is defined in such a way that it
corresponds to equivalence as subsets of the vertex set of the n-cube.
The description however says "... under action of the Jevons group".
I have never heard of the Jevons group, nor has google, and indeed it
was only by searching Math Reviews that I even found out who Jevons
was....
Does this term really have an unambiguous mathematical meaning? What
did Jevons do that merits him being credited with the name of this
group?
Also, a more minor point on the same sequence is that it is described
as ".. classes of nonlinear binary codes...". Is it being overly
pedantic to suggest that the comment should read "... classes of
not-necessarily linear binary codes...". After all, the count includes
both linear and nonlinear codes, and nonlinear does have a specific
technical meaning...
Cheers
Gordon
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