{"id":"https://openalex.org/keywords/automorphism-groups","display_name":"automorphism groups","description":"Groups consisting of the structure-preserving bijections of a mathematical object, studied across algebra and other areas of mathematics.","display_name_alternatives":["groups of automorphisms","Aut","automorphism group","group of automorphisms"],"ids":{"openalex":"https://openalex.org/keywords/automorphism-groups","wikidata":"https://www.wikidata.org/wiki/Q60790315"},"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.3072,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.3072,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.1132,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"works_count":17902,"cited_by_count":142968,"works_api_url":"https://api.openalex.org/works?filter=keywords.id:keywords/automorphism-groups","updated_date":"2026-10-22T04:07:25","created_date":"2026-09-30T00:00:00"}