![](/files/happy5.png)
addition table
Snevily's conjecture ★★★
Author(s): Snevily
Conjecture Let
be an abelian group of odd order and let
satisfy
. Then the elements of
and
may be ordered
and
so that the sums
are pairwise distinct.
![$ G $](/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png)
![$ A,B \subseteq G $](/files/tex/1967836ea9f6811b19299594cccdd8770090e3e7.png)
![$ |A| = |B| = k $](/files/tex/e74ab8fb89fd1230c6e1a3bfdcbfc40c53021a3d.png)
![$ A $](/files/tex/7a8d9782350e8eb5a84c149576d83160492cbdd3.png)
![$ B $](/files/tex/4369e4eb2b0938fb27436a8c4f4a062f83d4d49e.png)
![$ A = \{a_1,\ldots,a_k\} $](/files/tex/032e7b85aa3b03bc2d70e118fb3a69676a1a3518.png)
![$ B = \{b_1,\ldots,b_k\} $](/files/tex/9e14235476c457b5947d514ea77c0fb22e55737d.png)
![$ a_1+b_1, a_2+b_2 \ldots, a_k + b_k $](/files/tex/841c0337f160a7af3e593d4877cbed308b8c5224.png)
Keywords: addition table; latin square; transversal
![Syndicate content Syndicate content](/misc/feed.png)