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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