Keyword

solvable groups

Description: Groups whose derived series terminates at the trivial subgroup, a class studied in abstract algebra and group theory.

Primary topic: Finite Group Theory Research (72%)

Related topic: Finite Group Theory Research (72%)

Wikidata ID: wiki/Q759832

OpenAlex ID: keywords/solvable-groups

Linear algebraic groups

1966 · Armand Borel · Proceedings of symposia in pure mathematics · 2,122

Finite Soluble Groups

1992 · Klaus Doerk, Trevor O. Hawkes · De Gruyter eBooks · 1,431

An Introduction to the Theory of Groups

1995 · Joseph J. Rotman · Graduate texts in mathematics · 1,318

Linear Algebraic Groups

1998 · T. A. Springer · Birkhäuser Boston eBooks · 1,279

Finiteness Conditions and Generalized Soluble Groups

1972 · Derek J. S. Robinson · Springer eBooks · 1,079

A Course in the Theory of Groups

1996 · Derek J. S. Robinson · Graduate texts in mathematics · 908

Theory of Groups of Finite Order

1911 · G. B. M. · Nature · 637

On Some Types of Topological Groups

1949 · Kenkichi Iwasawa · Annals of Mathematics · 586

Fundamentals of the Theory of Groups

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

Chapter I, from Solvability of groups of odd order, Pacific J. Math, vol. 13, no. 3 (1963

1963 · Walter Feit, John Thompson · Pacific Journal of Mathematics · 506

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Prime graph components of finite groups

1981 · J.S Williams · Journal of Algebra · 496

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Solvability of Groups of Odd Order

2012 · Walter Feit, John G. Thompson, et al. · 392

Representations of Solvable Groups

1993 · Olaf Manz, Thomas R. Wolf · Cambridge University Press eBooks · 371

Finiteness Conditions for Soluble Groups

1954 · P. Hall · Proceedings of the London Mathematical Society · 345

Finite Simple Groups: An Introduction to Their Classification

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

Conjugacy Classes in Algebraic Groups

1974 · Robert Steinberg · Lecture notes in mathematics · 332

Theory of Group Representations

1982 · M. A. Naimark, A. I. Štern · Grundlehren der mathematischen Wissenschaften · 328

Growth of finitely generated solvable groups

1968 · John Milnor · Journal of Differential Geometry · 275

On the Finiteness of Certain Soluble Groups

1959 · P. Hall · Proceedings of the London Mathematical Society · 266

Characters of Solvable and Symplectic Groups

1973 · I. M. Isaacs · American Journal of Mathematics · 259

Between Nilpotent and Solvable

1982 · Henry Bray, Michael I. Weinstein · Medical Entomology and Zoology · 256

Part 2: Finiteness Conditions and Generalized Soluble Groups

1972 · Derek J. S. Robinson · Springer eBooks · 241

On Groups of Even Order

1955 · Richard Brauer, K. A. Fowler · Annals of Mathematics · 227

Field and Galois Theory

1996 · Patrick Morandi · Graduate texts in mathematics · 214

Normalteiler und maximale Untergruppen endlicher Gruppen

1954 · Bertram Huppert · Mathematische Zeitschrift · 198

Works count: 5,272

Citation count: 47,950