Keyword

finite simple groups

Description: Finite simple groups are finite groups with no normal subgroups other than the identity subgroup and the group itself, central objects in algebra.

Primary topic: Finite Group Theory Research (84%)

Related topic: Finite Group Theory Research (84%)

Wikidata ID: wiki/Q45033382

OpenAlex ID: keywords/finite-simple-groups

Partial differential equations of parabolic type

1965 · John S. Maybee · Journal of the Franklin Institute · 3,233

Simple Groups of Lie Type

1975 · I. G. MacDonald · Bulletin of the London Mathematical Society · 1,405

Lectures on Chevalley Groups

2016 · Robert Steinberg · University lecture series · 1,350

The Subgroup Structure of the Finite Classical Groups

1990 · Peter B. Kleidman, Martin W. Liebeck · Cambridge University Press eBooks · 1,305

Finite Permutation Groups

1964 · Elsevier eBooks · 1,263

Finite Group Theory

2000 · M. Aschbacher · Cambridge University Press eBooks · 829

Trading group theory for randomness

1985 · L Babai · 780

Finite groups of Lie type

1998 · M. Geck · Cambridge University Press eBooks · 683

The Classification of the Finite Simple Groups

1994 · Daniel Gorenstein, Richard Lyons, et al. · Mathematical surveys and monographs · 648

FINITE GROUPS OF LIE TYPE Conjugacy classes and complex characters

1987 · J. A. Green · Bulletin of the London Mathematical Society · 646

On the maximal subgroups of the finite classical groups

1984 · M. Aschbacher · Inventiones mathematicae · 607

Finite Simple Groups

1982 · Daniel Gorenstein · Springer eBooks · 548

The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

2013 · John N. Bray, Derek F. Holt, et al. · Cambridge University Press eBooks · 542

Fundamentals of the Theory of Groups

1979 · M. I. Kargapolov, Ju. I. Merzljakov · Graduate texts in mathematics · 532

Finite Permutation Groups and Finite Simple Groups

1981 · Peter J. Cameron · Bulletin of the London Mathematical Society · 524

The Finite Simple Groups

2009 · Robert A. Wilson · Graduate texts in mathematics · 481

Atlas of Finite Groups--Maximal Subgroups and Ordinary Characters for Simple Groups.

1987 · R. Steinberg, J. H. Conway, et al. · Mathematics of Computation · 474

Permutation Groups

1999 · Peter J. Cameron · Cambridge University Press eBooks · 473

Sur certains groupes simples

1955 · C. Chevalley · Tohoku Mathematical Journal · 446

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Representations of Algebraic Groups

1963 · Robert Steinberg · Nagoya Mathematical Journal · 434

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Monstrous Moonshine

1979 · J. H. Conway, S. P. Norton · Bulletin of the London Mathematical Society · 427

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Subgroups of prime power index in a simple group

1983 · Robert M Guralnick · Journal of Algebra · 356

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Finite Simple Groups: An Introduction to Their Classification

1982 · Daniel Gorenstein · CERN Document Server (European Organization for Nuclear Research) · 333

Permutation Group Algorithms

2003 · Ákos Seress · Cambridge University Press eBooks · 322

On Ree’s series of simple groups

1966 · Harold N. Ward · Transactions of the American Mathematical Society · 311

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Works count: 6,635

Citation count: 70,990