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Finite Group Theory Research

Finite Group Theory Research is a research topic within Discrete Mathematics and Combinatorics. Science Explorer counts 24k research works in it since 1950. 11.3% of them reached the world's top 10% most cited for their field and year.

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.

  • Finite Groups
  • Graphs
  • Character Degrees
  • Cayley Graphs
  • Association Schemes
  • Linear Transformations
  • Distance-Regular Graphs
  • Fusion Systems
  • Tridiagonal Pairs
  • Representation Theory
Research works
24k
fractional, since 1950
In the world top 10%
2.8k
per year above
Top-10% rate
11.3%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
-3%
the tick is no change

Which countries lead Finite Group Theory Research research?

By volume, China and the United States publish the most (558 and 326 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 558 works
  2. 2 United States 326 works
  3. 3 India 230 works
  4. 4 Russia 170 works
  5. 5 Germany 135 works
  6. 6 Italy 134 works
  7. 7 United Kingdom 125 works
  8. 8 Japan 100 works
  9. 9 Iran 94 works
  10. 10 France 91 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 28.4%United States: 16.6%India: 11.7%Russia: 8.6%6 others listed: 34.6%28%largest
China558 · 28.4%United States326 · 16.6%India230 · 11.7%Russia170 · 8.6%6 others listed679 · 34.6%

Shares of the rows listed above, not of the whole node.

Which institutions lead Finite Group Theory Research research?

By volume in 2022–2025, Sobolev Institute of Mathematics publishes the most Finite Group Theory Research research, followed by Francisk Skorina Gomel State University and Ghent University.

By volume, 2022–2025

  1. 1 Sobolev Institute of Mathematics Russia 28 works
  2. 2 Francisk Skorina Gomel State University Belarus 27 works
  3. 3 Ghent University Belgium 19 works
  4. 4 University of Primorska Slovenia 19 works
  5. 5 Universitat de València Spain 18 works
  6. 6 Universidade de Brasília Brazil 18 works
  7. 7 University of Naples Federico II Italy 18 works
  8. 8 Southern University of Science and Technology China 14 works
  9. 9 University of Manchester United Kingdom 14 works
  10. 10 Beijing Jiaotong University China 14 works

Who are the leading researchers in Finite Group Theory Research?

The most-cited researchers publishing on Finite Group Theory Research include Terence Tao.

  1. 1 Terence Tao 3.1k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Finite Group Theory Research research done?

The largest centres of Finite Group Theory Research research in 2022–2025 are Moscow (Russia), Beijing (China), Novosibirsk (Russia) and Tokyo (Japan). Among places with at least 20 works in it, it is an unusually large share of all research in Homyel and Novosibirsk.

Largest cities, 2022–2025

  1. 1 Moscow Russia 70 works
  2. 2 Beijing China 65 works
  3. 3 Novosibirsk Russia 42 works
  4. 4 Tokyo Japan 34 works
  5. 5 Shanghai China 32 works
  6. 6 Tehran Iran 32 works
  7. 7 Guangzhou China 29 works
  8. 8 Paris France 29 works
  9. 9 Homyel Belarus 29 works
  10. 10 London United Kingdom 24 works

Where it is the local speciality

  1. HomyelBY · 28.6 works186×
  2. NovosibirskRU · 42.1 works12×
← less than its size predictsmore →

Location quotient: how much more of its research is in Finite Group Theory Research than the world average.

See Finite Group Theory Research on the map

Where is the best place to study Finite Group Theory Research?

Among universities, judged by research, Southern University of Science and Technology, University of Naples Federico II and Universitat de València score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%10%20%mean 12.2%fractional works in this node (log) →share in the world top 10% →Southern University of Science and Technology: 14, 16.8%University of Naples Federico II: 18, 14.0%Universitat de València: 18, 13.7%National Research University Higher School of Economics: 9, 19.6%University of Primorska: 19, 11.2%Ghent University: 19, 6.6%University of Milano-Bicocca: 11, 9.9%Francisk Skorina Gomel State University: 27, 1.3%Central China Normal University: 9, 13.9%The University of Western Australia: 8, 15.0%National Research Un…Southern University …University of Naples…Universitat de Valèn…
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1Southern University of Science and Technology China 66.616.8%9.4×14
2University of Naples Federico II Italy 64.714.0%10.8×18 +17.2%
3Universitat de València Spain 62.913.7%12.6×18 -1.7%
4National Research University Higher School of Economics Russia 62.819.6%7.8×9 +249.8%
5University of Primorska Slovenia 61.111.2%117.0×19 -0.6%
6Ghent University Belgium 57.36.6%12.4×19 -37.1%
7University of Milano-Bicocca Italy 55.29.9%13.8×11 +61.6%
8Francisk Skorina Gomel State University Belarus 55.11.3%567.4×27 +25.6%
9Central China Normal University China 49.713.9%12.5×9 -5.8%
10The University of Western Australia Australia 48.015.0%7.7×8 -31.6%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Finite Group Theory Research research growing?

Output in 2018–2022 was 3% lower than in 2013–2017, peaking in 2023. The fastest-growing topics are Finite Group Theory Research.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.