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Allowable values for the total number of times we can have ab=ba in the Cayley table of a finite non-abelian group.
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%I #15 Aug 27 2023 04:21:10

%S 18,40,48,70,72,100,105,108,112,120,154,160,162,168,192,208,216,270,

%T 273,280,288,294,297,300,324,340,352,360,364,384,385,400,418,432

%N Allowable values for the total number of times we can have ab=ba in the Cayley table of a finite non-abelian group.

%H B. Dolan, D. MacHale and P. MacHale, <a href="https://www.maths.tcd.ie/pub/ims/bull77/MacHale.pdf">Counting Commutativities in Finite Algebraic Systems</a>, Irish Math. Soc. Bulletin, Number 77, Summer 2016, 61-70.

%Y Cf. A341295.

%K nonn,more

%O 1,1

%A _Des MacHale_, Feb 05 2021