Keyword

abelian groups

Description: Groups in abstract algebra whose operation is commutative, meaning that the order of combining any two elements does not affect the result.

Primary topic: Finite Group Theory Research (21%)

Wikidata ID: wiki/Q181296

OpenAlex ID: keywords/abelian-groups

Introduction to algebraic K-theory

1971 · John Milnor · CERN Document Server (European Organization for Nuclear Research) · 1,265

Classical Harmonic Analysis and Locally Compact Groups

2000 · Hans Reiter, Jan D Stegeman · 788

Abelian groups

1960 · L. Fuchs · 664

Homology

1966 · Edwin H. Spanier · Springer eBooks · 516

Embedding Theorems for Groups

1949 · Graham Higman, B. H. Neumann, et al. · Journal of the London Mathematical Society · 505

Groupes D'Homotopie Et Classes De Groupes Abeliens

1953 · Jean-Pierre Serre · Annals of Mathematics · 423

A calculus for finely layered anisotropic media

1989 · Michael E. Schoenberg, Francis Muir · Geophysics · 387

Theoretical studies of self-organized criticality

2006 · Deepak Dhar · Physica A Statistical Mechanics and its Applications · 348

A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem

2005 · Greg Kuperberg · SIAM Journal on Computing · 348

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Function Secret Sharing

2015 · Elette Boyle, Niv Gilboa, et al. · Lecture notes in computer science · 328

Representations of Finite and Compact Groups

1995 · Barry Simon · Graduate studies in mathematics · 303

Tensor network states and algorithms in the presence of a global U(1) symmetry

2011 · Sukhwinder Singh, Robert N. C. Pfeifer, et al. · Physical Review B · 287

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The Stability of the Cosine Equation

1980 · John A. Baker · Proceedings of the American Mathematical Society · 279

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Elementary properties of Abelian groups

1955 · Wanda Szmielew · Fundamenta Mathematicae · 277

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Model theory and modules

2003 · Mike Prest · Handbook of algebra · 268

An Inverse Theorem for the Gowers $u^3(g)$ Norm

2008 · Ben Green, Terence Tao · Proceedings of the Edinburgh Mathematical Society · 261

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How To Make Ext Vanish

2001 · Paul C. Eklof, Jan Trlifaj · Bulletin of the London Mathematical Society · 254

Abelian groups without elements of finite order

1937 · Reinhold Baer · Duke Mathematical Journal · 247

Graphs, Surfaces and Homology

2010 · Peter Giblin · Cambridge University Press eBooks · 246

Random Cayley graphs and expanders

1994 · Noga Alon, Yuval Roichman · Random Structures and Algorithms · 240

Fuzzy Commutative Algebra

1998 · John N Mordeson, D S Malik · WORLD SCIENTIFIC eBooks · 224

The power graph of a finite group

2010 · Peter J. Cameron, Shamik Ghosh · Discrete Mathematics · 220

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Partial actions of groups and actions of inverse semigroups

1998 · Ruy Exel · Proceedings of the American Mathematical Society · 216

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Quantum algorithms: entanglement–enhanced information processing

1998 · Artur Ekert, Richard Jozsa · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 214

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Braces and the Yang–Baxter Equation

2014 · Ferran Cedó, Eric Jespers, et al. · Communications in Mathematical Physics · 207

Works count: 8,563

Citation count: 66,530