Transversal (combinatorics): Difference between revisions

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Common transversals
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==Examples==
In Euclidean space, a [[regulus (geometry)|regulus]] is a pair of sets made up of opposite transversals.
 
In [[group theory]], given a [[subgroup]] ''H'' of a group ''G'', a right (respectively left) transversal is a [[Set (mathematics)|set]] containing exactly one element from each right (respectively left) [[coset]] of ''H''. In this case, the "sets" (cosets) are mutually disjoint, i.e. the cosets form a [[Partition of a set|partition]] of the group.