# 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) ## Metadata **Review**:: [readwise.io](https://readwise.io/bookreview/38411574) **Source**:: #from/readwise #from/reader **Zettel**:: #zettel/fleeting **Status**:: #x **Authors**:: [[Wikipedia Authors]] **Full Title**:: Group (mathematics) **Category**:: #articles #readwise/articles **Category Icon**:: 📰 **URL**:: [en.wikipedia.org](https://en.wikipedia.org/wiki/Group_(mathematics)) **Host**:: [[en.wikipedia.org]] **Highlighted**:: [[2024-03-06]] **Created**:: [[2024-03-06]] ## 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