The multiplication table for a group. Given a finite group G = {g1,…gn}, then the product gigj appears in the ith row and jth column of the table. As pre-multiplication by gi and post-multiplication by gj are both invertible, then a Cayley table is a Latin square.
A tabular means of describing a finite group, first used by the 19th-century mathematician Arthur Cayley. To illustrate, the set
forms a group under the dyadic operation ° as described by the Cayley table shown in the diagram. The value of −1°i, for example, is −i. The name composition table is usually used when the group operation is composition of functions.
Cayley table.
- Uranus
- URAT Catalogue
- Urbain process
- urban
- urban assets
- urban climate
- urban containment
- urban design
- urban diseconomies
- urban dome
- urban ecology
- urban economics
- urban geography
- urban governance
- urban heat island
- urban hydrology
- Urban II
- urbanism
- urbanization
- urbanization curve
- urbanization economies
- urban morphology
- urban planning
- urban political ecology
- urban regeneration