Keyword

normal subgroups

Description: Subgroups of a group that remain invariant under conjugation, enabling the construction of quotient groups.

Primary topic: Finite Group Theory Research (60%)

Wikidata ID: wiki/Q743179

OpenAlex ID: keywords/normal-subgroups

Fundamentals of the Theory of Groups

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

The mathematical theory of symmetry in solids : representation theory for point groups and space groups

2010 · Christopher John Bradley, A. P. Cracknell · 489

Characters and Blocks of Finite Groups

1998 · Gabriel Navarro · Cambridge University Press eBooks · 428

Principles of Advanced Mathematical Physics

1981 · Robert D. Richtmyer · Springer eBooks · 377

C-Normality of Groups and Its Properties

1996 · Yanming Wang · Journal of Algebra · 333

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Representations Induced in an Invariant Subgroup

1937 · A. H. Clifford · Annals of Mathematics · 304

Harmonic synthesis for subgroups

1973 · Carl S. Herz · Annales de l’institut Fourier · 263

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On Groups of Even Order

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

Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group

1975 · J. Patera, P. Winternitz, et al. · Journal of Mathematical Physics · 210

Classes of finite groups and their properties

1957 · Reinhold Baer · Illinois Journal of Mathematics · 207

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Finite groups whose minimal subgroups are normal

1970 · Joseph Buckley · Mathematische Zeitschrift · 204

Maximal subgroups of finite groups

1985 · M Aschbacher, L Scott · Journal of Algebra · 203

Representations and characters of groups

1994 · Choice Reviews Online · 201

Normalteiler und maximale Untergruppen endlicher Gruppen

1954 · Bertram Huppert · Mathematische Zeitschrift · 198

Eine Verallgemeinerung der invarianten Untergruppen

1939 · Helmut Wielandt · Mathematische Zeitschrift · 186

Closures of conjugacy classes of matrices are normal

1979 · Hanspeter Kraft, Claudio Procesi · Inventiones mathematicae · 183

The Theory of Finite Groups: An Introduction

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

Gruppen, in denen das Normalteilersein transitiv ist.

1957 · Wolfgang Gaschütz · Journal für die reine und angewandte Mathematik (Crelles Journal) · 175

Vertex‐transitive graphs: Symmetric graphs of prime valency

1984 · Peter Lorimer · Journal of Graph Theory · 174

Irreducible representations of space groups

1973 · N. Neto · Acta Crystallographica Section A · 153

Finite Factor Groups of the Unimodular Group

1965 · Jens L. Mennicke · Annals of Mathematics · 152

Enumeration of Spin-Space Groups: Toward a Complete Description of Symmetries of Magnetic Orders

2024 · Yi Jiang, Ziyin Song, et al. · Physical Review X · 147

The lower and upper approximations in a fuzzy group

1996 · Nobuaki Kuroki, Paul P. Wang · Information Sciences · 131

Sylow intersections and fusion

1967 · J.L Alperin · Journal of Algebra · 127

Some Remarks on Topological Full Groups of Cantor Minimal Systems

2006 · HIROKI MATUI · International Journal of Mathematics · 121

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Works count: 4,861

Citation count: 32,140