Topic · Finite Group Theory Research
Most cited papers in Finite Group Theory Research
What are the most cited papers in Finite Group Theory Research?
The most cited paper in Finite Group Theory Research is "Partial differential equations of parabolic type" (John S. Maybee, 1965), with 3,305 citations. Next come "Compact matrix pseudogroups" (1,700) and "SIMPLE GROUPS OF LIE TYPE" (1,471).
Showing 50 of 100 papers. Every paper with more than 278 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Partial differential equations of parabolic type John S. Maybee · Journal of the Franklin Institute | Jun 1965 | 3,305 |
| 2 | Compact matrix pseudogroups Stanisław Lech Woronowicz · Communications in Mathematical Physics | Dec 1987 | 1,700 |
| 3 | SIMPLE GROUPS OF LIE TYPE Ian G. MacDonald · Bulletin of the London Mathematical Society | Mar 1975 | 1,471 |
| 4 | Groupes réductifs sur un corps local : I. Données radicielles valuées François Bruhat, Jacques Tits · Publications mathématiques de l IHÉS | 7 Dec 1972 | 1,043 |
| 5 | Ramanujan graphs Alexander Lubotzky, Ralph S. Phillips, Peter Sarnak · COMBINATORICA | Sep 1988 | 1,015 |
| 6 | Free subgroups in linear groups Jacques Tits · Journal of Algebra | Feb 1972 | 883 |
| 7 | The primes contain arbitrarily long arithmetic progressions Benjamin Green, Terence Tao · Annals of Mathematics | Mar 2008 | 832 |
| 8 | Finite groups of Lie type Meinolf Geck · Cambridge University Press eBooks | 3 Sep 1998 | 746 |
| 9 | Clifford modules Michael Francis Atiyah, R. Bott, Alexander Shapiro · Topology | Jul 1964 | 742 |
| 10 | Regular elements of semi-simple algebraic groups Robert Steinberg · Publications mathématiques de l IHÉS | 7 Dec 1965 | 709 |
| 11 | Rational isogenies of prime degree Barry Mazur, Dorian M. Goldfeld · Inventiones mathematicae | Jun 1978 | 688 |
| 12 | Symplectic structure of the moduli space of sheaves on an abelian or K3 surface Shigeru Mukai · Inventiones mathematicae | Feb 1984 | 668 |
| 13 | Isomorphism of graphs of bounded valence can be tested in polynomial time Eugene M. Luks · Journal of Computer and System Sciences | Aug 1982 | 665 |
| 14 | On the maximal subgroups of the finite classical groups Michael Aschbacher · Inventiones mathematicae | Oct 1984 | 640 |
| 15 | Groupes réductifs sur un corps local : II. Schémas en groupes. Existence d'une donnée radicielle valuée François Bruhat, Jacques Tits · Publications mathématiques de l IHÉS | 7 Dec 1984 | 636 |
| 16 | On Whittaker vectors and representation theory Bertram Kostant · Inventiones mathematicae | Jun 1978 | 633 |
| 17 | Unitary representations of group extensions. I George W. Mackey · Acta Mathematica | 1958 | 603 |
| 18 | Polynomial representations of GLn James Green · Lecture notes in mathematics | 1981 | 594 |
| 19 | Modules de Hodge Polarisables Morihiko Saito · Publications of the Research Institute for Mathematical Sciences | 31 Dec 1988 | 588 |
| 20 | Mixed Hodge Modules Morihiko Saito · Publications of the Research Institute for Mathematical Sciences | 30 Apr 1990 | 583 |
| 21 | All unitary ray representations of the conformal group SU(2,2) with positive energy G. Mack · Communications in Mathematical Physics | Feb 1977 | 577 |
| 22 | A Generalized Birthday Problem David A. Wagner · Lecture notes in computer science | 2002 | 537 |
| 23 | Prime graph components of finite groups Julian Scott Williams · Journal of Algebra | Apr 1981 | 499 |
| 24 | A sketch of Lie superalgebra theory Victor Gershevich Kac · Communications in Mathematical Physics | Feb 1977 | 499 |
| 25 | Interlacing eigenvalues and graphs Willem H. Haemers · Linear Algebra and its Applications | Sep 1995 | 489 |
| 26 | Eigenvalues of the Laplacian of a graph ∗ William N. Anderson, Thomas D. Morley · Linear and Multilinear Algebra | Oct 1985 | 487 |
| 27 | Central elements in core-free groups George Glauberman · Journal of Algebra | Nov 1966 | 469 |
| 28 | Bounded gaps between primes Zhang Yitang · Annals of Mathematics | 20 Feb 2014 | 468 |
| 29 | Sur certains groupes simples Catherine Chevalley · Tohoku Mathematical Journal | 1955 | 462 |
| 30 | New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities Robert J. McEliece, Eugene R. Rodemich, Howard Rumsey et al. · IEEE Transactions on Information Theory | Mar 1977 | 456 |
| 31 | The Hook Graphs of the Symmetric Group J. Sutherland Frame, Gilbert de B. Robinson, Robert Thrall · Canadian Journal of Mathematics | 1954 | 455 |
| 32 | Representations of Algebraic Groups Robert Steinberg · Nagoya Mathematical Journal | Jun 1963 | 455 |
| 33 | On extremal problems of graphs and generalized graphs P. Erdös · Israel Journal of Mathematics | Sep 1964 | 448 |
| 34 | A new table of constant weight codes Andries E. Brouwer, James B. Shearer, Neil J.A. Sloane et al. · IEEE Transactions on Information Theory | 1990 | 437 |
| 35 | Morse theory and finiteness properties of groups Mladen Bestvina, Noel Brady · Inventiones mathematicae | Aug 1997 | 435 |
| 36 | Finite sums from sequences within cells of a partition of N Neil Hindman · Journal of Combinatorial Theory Series A | Jul 1974 | 425 |
| 37 | On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem Philip F Hall, Graham Higman · Proceedings of the London Mathematical Society | 1956 | 424 |
| 38 | Residual Properties of Infinite Soluble Groups K. W. Gruenberg · Proceedings of the London Mathematical Society | 1957 | 422 |
| 39 | The Subconstituent Algebra of an Association Scheme, (Part I) Paul Terwilliger · Journal of Algebraic Combinatorics | Dec 1992 | 420 |
| 40 | Centralizing Mappings and Derivations in Prime Rings Matej Brešar · Journal of Algebra | Apr 1993 | 412 |
| 41 | Fuglede’s conjecture is false in 5 and higher dimensions Terence Tao · Mathematical Research Letters | 2004 | 411 |
| 42 | The expected eigenvalue distribution of a large regular graph Brendan D. McKay · Linear Algebra and its Applications | Oct 1981 | 403 |
| 43 | Cyclic and Negacyclic Codes Over Finite Chain Rings Hai Quang Dinh, Sergio R. López-Permouth · IEEE Transactions on Information Theory | 27 Jul 2004 | 402 |
| 44 | Low lying zeros of families of L -functions Henryk Iwaniec, Wenzhi Luo, Peter Sarnak · Publications mathématiques de l IHÉS | 7 Dec 2000 | 399 |
| 45 | Regular elements of finite reflection groups T. A. Springer · Inventiones mathematicae | Jun 1974 | 393 |
| 46 | Linear equations in primes Ben Green, Terence Tao · Annals of Mathematics | 25 Apr 2010 | 386 |
| 47 | On the Minimal Degrees of Projective Representations of the Finite Chevalley Groups, II Gary M. Seitz, Alexandre E. Zalesski · Journal of Algebra | Jun 1993 | 381 |
| 48 | A canonical decomposition theory for metrics on a finite set Hans‐Jürgen Bandelt, Andreas Dress · Advances in Mathematics | Mar 1992 | 377 |
| 49 | Duality for modules over finite rings and applications to coding theory Jay A. Wood · American Journal of Mathematics | Jun 1999 | 371 |
| 50 | Subgroups of prime power index in a simple group Robert M. Guralnick · Journal of Algebra | Apr 1983 | 366 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.