# transversal

## 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.

Keywords: addition table; latin square; transversal

## Rota's basis conjecture ★★★

Author(s): Rota

Conjecture   Let be a vector space of dimension and let be bases. Then there exist disjoint transversals of each of which is a base.

Keywords: base; latin square; linear algebra; matroid; transversal