# Wikipedia Authors - Group (mathematics) (Highlights) ![rw-book-cover|256](https://readwise-assets.s3.amazonaws.com/media/uploaded_book_covers/profile_155788/1200px-Rubik27s_cube.svg.png) ## Highlights - In [mathematics](https://en.wikipedia.org/wiki/Mathematics), a **group** is a [set](https://en.wikipedia.org/wiki/Set_(mathematics)) with an [operation](https://en.wikipedia.org/wiki/Binary_operation) that satisfies the following constraints: the operation is [associative](https://en.wikipedia.org/wiki/Associative_property) and has an [identity element](https://en.wikipedia.org/wiki/Identity_element), and every element of the set has an [inverse element](https://en.wikipedia.org/wiki/Inverse_element). ([View Highlight](https://read.readwise.io/read/01hr8tyssatq14thff1r18r93e)) ^688708961