Title of article
The parity of the number of quasigroups
Author/Authors
Stones، نويسنده , , Douglas S.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
7
From page
3033
To page
3039
Abstract
Let I ( n ) be the number of isomorphism classes of quasigroups of order n . Despite prior enumerations showing that I ( n ) is odd for 1 ≤ n ≤ 11 , we find that I ( 12 ) is even. We also give a method for finding the parity of I ( n ) , which we use to show that I ( n ) is odd for n ∈ { 13 , 14 , 15 , 16 , 17 , 19 , 21 } .
Keywords
Quasigroup , Partial orthomorphism , Latin square
Journal title
Discrete Mathematics
Serial Year
2010
Journal title
Discrete Mathematics
Record number
1599463
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