Keyword

nilpotent groups

Description: Groups in abstract algebra whose upper central series terminates at the group, studied through their algebraic structure and properties.

Primary topic: Finite Group Theory Research (59%)

Related topic: Finite Group Theory Research (59%)

Wikidata ID: wiki/Q1755242

OpenAlex ID: keywords/nilpotent-groups

An Introduction to the Theory of Groups

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

Hypoelliptic differential operators and nilpotent groups

1976 · Linda Preiss Rothschild, E. M. Stein · Acta Mathematica · 1,102

Finiteness Conditions and Generalized Soluble Groups

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

Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un

1989 · Pierre Pansu · Annals of Mathematics · 867

Trading group theory for randomness

1985 · L Babai · 780

Fundamentals of the Theory of Groups

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

Principe de moindre action, propagation de la chaleur et estimees sous elliptiques sur certains groupes nilpotents

1977 · Bernard Gaveau · Acta Mathematica · 522

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Homology and central series of groups

1965 · John Stallings · Journal of Algebra · 466

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Sur les groupes nilpotents et les anneaux de Lie

1954 · Michel Lazard · Annales Scientifiques de l École Normale Supérieure · 378

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Localization of Nilpotent Groups and Spaces

1975 · North-Holland mathematics studies · 375

Non-commuting graph of a group

2006 · A. Abdollahi, S. Akbari, et al. · Journal of Algebra · 328

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The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

1972 · H. Bass · Proceedings of the London Mathematical Society · 292

On a special class of p-groups

1958 · N. Blackburn · Acta Mathematica · 274

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Between Nilpotent and Solvable

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

Harmonic analysis on nilpotent groups and singular integrals I. Oscillatory integrals

1987 · Fulvio Ricci, E.M Stein · Journal of Functional Analysis · 248

Classes of finite groups and their properties

1957 · Reinhold Baer · Illinois Journal of Mathematics · 207

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Normalteiler und maximale Untergruppen endlicher Gruppen

1954 · Bertram Huppert · Mathematische Zeitschrift · 198

Group Rings and Their Augmentation Ideals

1979 · Inder Bir S. Passi · Lecture notes in mathematics · 189

The Theory of Finite Groups: An Introduction

2012 · Hans Kurzweil, Bernd Stellmacher · Thammasat University Digital Collections · 182

Subgroups Permutable with All Sylow Subgroups

1998 · Peter Schmid · Journal of Algebra · 179

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On the Automorphisms of Free Groups and Free Nilpotent Groups

1965 · S. Andreadakis · Proceedings of the London Mathematical Society · 174

Some sufficient conditions for a group to be nilpotent

1958 · P. Hall · Illinois Journal of Mathematics · 173

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Subgroups of finite index in nilpotent groups

1988 · F. J. Grunewald, D. Segal, et al. · Inventiones mathematicae · 155

Produkte nilpotenter Gruppen

1961 · Otto H. Kegel · Archiv der Mathematik · 154

Nilpotent Groups and their Automorphisms

1993 · Evgenii I. Khukhro · De Gruyter eBooks · 153

Works count: 3,971

Citation count: 34,400