abelianization functor

1. Definition / Proposition

Given category Group and Category Ab, the abelianization functor is defined as covariant functor

20240109-abelianization_functor_b2841dcf9ecf3154d30a6117728fa97a0967a563.svg

where 20240109-abelianization_functor_5005ba345856da30d798763fd79cf73606892b7e.svg is the unique morphism obtained by

20240109-abelianization_functor_4af239b79cf2ee9139566139e97d5f00812ded44.svg

2. Proof

Date: nil

Author: Anton Zakrewski

Created: 2024-10-19 Sa 21:22