{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","description":"This cluster of papers focuses on the study of finite groups, their representations, and associated graphs such as Cayley graphs and distance-regular graphs. It also explores topics like character degrees, fusion systems, and linear transformations in the context of finite group theory.","keywords":[{"id":"https://openalex.org/keywords/finite-groups","display_name":"finite groups","score":0.7432},{"id":"https://openalex.org/keywords/group-theory","display_name":"group theory","score":0.2976},{"id":"https://openalex.org/keywords/finite-simple-groups","display_name":"finite simple groups","score":0.8409},{"id":"https://openalex.org/keywords/automorphism-groups","display_name":"automorphism groups","score":0.3072},{"id":"https://openalex.org/keywords/solvable-groups","display_name":"solvable groups","score":0.7189},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"symmetric group","score":0.3399},{"id":"https://openalex.org/keywords/group-structure","display_name":"group structure","score":0.3997},{"id":"https://openalex.org/keywords/group-representations","display_name":"group representations","score":0.3244},{"id":"https://openalex.org/keywords/permutation-groups","display_name":"permutation groups","score":0.5022},{"id":"https://openalex.org/keywords/normal-subgroups","display_name":"normal subgroups","score":0.5968},{"id":"https://openalex.org/keywords/cayley-graphs","display_name":"Cayley graphs","score":0.44},{"id":"https://openalex.org/keywords/conjugacy-classes","display_name":"conjugacy classes","score":0.4677},{"id":"https://openalex.org/keywords/p-groups","display_name":"p-groups","score":0.7407},{"id":"https://openalex.org/keywords/modular-representation-theory","display_name":"modular representation theory","score":0.6699},{"id":"https://openalex.org/keywords/finite-p-groups","display_name":"finite p-groups","score":0.8692},{"id":"https://openalex.org/keywords/nilpotent-groups","display_name":"nilpotent groups","score":0.585},{"id":"https://openalex.org/keywords/sylow-subgroups","display_name":"Sylow subgroups","score":0.8825},{"id":"https://openalex.org/keywords/character-theory","display_name":"character theory","score":0.5529},{"id":"https://openalex.org/keywords/group-presentations","display_name":"group presentations","score":0.2541},{"id":"https://openalex.org/keywords/maximal-subgroups","display_name":"maximal subgroups","score":0.7372},{"id":"https://openalex.org/keywords/representation-theory-of-finite-groups","display_name":"representation theory of finite groups","score":0.5775},{"id":"https://openalex.org/keywords/finite-geometry","display_name":"finite geometry","score":0.2698},{"id":"https://openalex.org/keywords/abelian-groups","display_name":"abelian groups","score":0.2075},{"id":"https://openalex.org/keywords/irreducible-characters","display_name":"irreducible characters","score":0.724},{"id":"https://openalex.org/keywords/cyclic-groups","display_name":"cyclic groups","score":0.323}],"legacy_keywords":"Finite Groups; Graphs; Character Degrees; Cayley Graphs; Association Schemes; Linear Transformations; Distance-Regular Graphs; Fusion Systems; Tridiagonal Pairs; Representation Theory","ids":{"openalex":"https://openalex.org/T10849","wikipedia":"https://en.wikipedia.org/wiki/Finite_group"},"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"},"siblings":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics"},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory"},{"id":"https://openalex.org/T14082","display_name":"Modeling, Simulation, and Optimization"}],"works_count":88392,"cited_by_count":698363,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T10849","updated_date":"2026-10-22T03:01:35","created_date":"2024-01-23T15:27:08"}