Category:Group theory
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English: This category is about the subdiscipline of Category:Mathematics. For groups in Category:Sociology, see Category:Social groups. In mathematics, a group is a set, together with a binary operation satisfying certain axioms, detailed in the group article.
branch of mathematics that studies the algebraic properties of groups | |||||
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Subcategories
This category has the following 31 subcategories, out of 31 total.
*
A
- Artin transfer (21 F)
B
- Braid theory (53 F)
- Buekenhout geometry (3 F)
C
- Coclass (18 F)
E
F
- Free groups (8 F)
G
- Group extension (2 F)
- Group homomorphisms (14 F)
I
L
M
- Molecular symmetry groups (27 F)
P
R
- Reflection groups (3 F)
Media in category "Group theory"
The following 118 files are in this category, out of 118 total.
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A5 in SO(3).gif 360 × 360; 8.64 MB
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A7 Maximal Embeddings.svg 1,036 × 5,503; 3.52 MB
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Abelian.jpg 297 × 393; 21 KB
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Action of SL2(Z) on the Poincare disc.svg 250 × 250; 2.04 MB
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Affine dihedral complex.svg 540 × 280; 45 KB
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AlgebraicGroup diagrams.gif 580 × 189; 4 KB
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B6 Maximal Embeddings.svg 912 × 2,834; 1.39 MB
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Barns Wall Lattice by MisakiOhta.jpg 2,835 × 2,835; 9.12 MB
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Bers-Einbettung.png 512 × 512; 6 KB
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Blearygroupoids.pdf 1,275 × 1,650, 5 pages; 99 KB
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C8 Maximal Embeddings.svg 987 × 2,237; 1.6 MB
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Caractères du groupe symétrique d'ordre trois.jpg 473 × 364; 49 KB
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Cayley F2.png 537 × 375; 4 KB
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Cayley graph of the dihedral group of order 16.svg 385 × 385; 12 KB
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Cayley graph of the modular maximal-cyclic group of order 16.svg 385 × 385; 12 KB
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Cayley graph of the quasidihedral group of order 16.svg 385 × 385; 12 KB
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Chandvajhi0001.JPG 140 × 136; 12 KB
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Chandzelee0001.JPG 273 × 231; 11 KB
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Check digit TA quasigroup dhmd111rr illustration eg5724.svg 640 × 248; 16 KB
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Classes Groups1.GIF 482 × 380; 9 KB
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Classification of the finite simple groups.jpg 4,000 × 4,000; 1.91 MB
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Commutative diagram Lorentz group.pdf 256 × 150; 39 KB
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Commutative diagram SO(3, 1) latex.svg 214 × 166; 46 KB
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Composition de rotation.png 379 × 118; 7 KB
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Computational Group Theory.jpg 904 × 423; 169 KB
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Conformal Embedding.jpg 397 × 234; 48 KB
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Conformal embedding.svg 1,000 × 1,000; 45 KB
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Connected components of the Lorentz group.svg 292 × 114; 24 KB
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Coset multiplication.svg 800 × 600; 20 KB
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Cyclic group.svg 443 × 431; 1 KB
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D8 Maximal Embeddings.svg 995 × 6,036; 2.96 MB
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Dessin d'enfant for M12.svg 512 × 512; 3 KB
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Dicyclic-commutative-diagram.svg 357 × 232; 35 KB
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Dihedral-conjugacy-classes.svg 602 × 321; 45 KB
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Dihedral4.png 485 × 124; 2 KB
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Dominance order partitions of 6.png 321 × 859; 19 KB
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DSA and ECDSA cheat sheat.jpeg 1,024 × 758; 43 KB
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Duality-for-finite-groups.jpg 647 × 399; 38 KB
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E6 Maximal Embeddings with Weyl Orbit and Coxeter-Dynkin Diagrams.svg 967 × 3,336; 1.12 MB
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E6MaximalEmbeddings.svg 419 × 803; 253 KB
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E7 Maximal Embeddings with Weyl Orbit and Coxeter-Dynkin Diagrams.svg 945 × 3,234; 1.3 MB
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E7 Maximal Embeddings.svg 428 × 1,075; 316 KB
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E8 Maximal Embeddings.svg 1,320 × 3,009; 306 KB
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E8 MaximalEmbeddings with Weyl Orbit and Coxeter-Dynkin Diagrams.svg 680 × 1,467; 1.03 MB
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E8SubgroupTree.svg 967 × 2,667; 234 KB
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Elements-of-the-tetra-subgroup.png 1,536 × 1,536; 158 KB
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Equilíbrio Pontual.PNG 590 × 273; 36 KB
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Euclid orchard trimetric.svg 512 × 384; 13 KB
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Euclid's Orchard (large).svg 356 × 356; 32 KB
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Exact couple.png 241 × 156; 1 KB
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Exemple Transformée de Fourier Discrete.jpg 1,024 × 658; 79 KB
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F4 Maximal Embeddings with Weyl Orbit and Coxeter-Dynkin Diagrams.svg 919 × 1,346; 718 KB
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F4 Maximal Embeddings.svg 549 × 472; 196 KB
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Finite coxeter.png 2,346 × 780; 34 KB
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FreeBurnsideGroupExp3Gens2.png 1,792 × 1,381; 1.01 MB
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Frieze.png 300 × 500; 8 KB
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Fund-tiling-for-icos.png 1,536 × 1,536; 501 KB
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G2 affine chamber.svg 320 × 320; 36 KB
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G2 Maximal Embeddings with Weyl Orbit and Coxeter-Dynkin Diagrams.svg 532 × 1,046; 385 KB
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G2 Maximal Embeddings.svg 369 × 462; 161 KB
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GraphOf3Groups.png 686 × 703; 73 KB
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GraphOf3Groups.tiff 1,145 × 1,160; 190 KB
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Grupo de Prüfer p-2 (texto).svg 450 × 460; 890 KB
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HeisenbergCayleyGraph.png 533 × 423; 9 KB
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Hierarchy of finite groups.svg 412 × 285; 51 KB
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Hurwitz Lipschitz D4.svg 966 × 614; 55 KB
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Icosahedral-tiling-4.webm 20 s, 1,024 × 1,024; 513 KB
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Icosahedral-tiling.webm 20 s, 1,024 × 1,024; 388 KB
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Illustration of an Exact Sequence of Groups.svg 1,329 × 744; 142 KB
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Image unitcircle z0 0.4000 i 0.4000 l 0.7071.png 1,200 × 900; 43 KB
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Integers-mod-500-under-multiplication.png 500 × 500; 204 KB
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KauffmannTangleAlg 2.PNG 346 × 101; 3 KB
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KauffmannTangleAlg 3.PNG 340 × 102; 4 KB
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Lettre fondatrice de la théorie des représentations.jpg 700 × 1,036; 124 KB
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Lorentz group commutative diagram 2.svg 536 × 315; 55 KB
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Lorentz group commutative diagram.png 944 × 603; 84 KB
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Magma to group4 ru.svg 430 × 371; 23 KB
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Map-63-40.png 1,024 × 1,024; 436 KB
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Map-63-60.png 1,536 × 1,536; 577 KB
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Mathieu 12 icosahedron.jpg 2,377 × 2,260; 267 KB
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Modelo de Tuckman.png 944 × 285; 30 KB
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Moore diagram of Binary Adding Machine.svg 233 × 143; 3 KB
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Morphisme.jpg 541 × 467; 16 KB
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NucleusMachine(BasilicaGroup).svg 396 × 280; 8 KB
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OrbitStructureDual.png 484 × 483; 5 KB
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Poincare Group Commutation Structure.png 6,650 × 6,213; 383 KB
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Presentacion de grupo teorema von dyck diagrama conmutativo.svg 105 × 82; 24 KB
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ProdGrp.png 333 × 153; 8 KB
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Projective-representation-lifting.svg 225 × 203; 45 KB
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Proof of x=ex.png 1,046 × 376; 19 KB
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Prüfer.png 1,255 × 901; 21 KB
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Quaternions SO(3) cube.png 568 × 670; 45 KB
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Quaternions SO(3) cube.svg 568 × 670; 17 KB
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Rank 2 shephard subgroups2.png 509 × 840; 63 KB
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Reg-Map-63-40-on-torus.webm 20 s, 1,024 × 768; 6.38 MB
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Reg-map-63-40.png 1,015 × 945; 379 KB
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Regmap-6340.png 1,038 × 1,021; 466 KB
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Rotation of a vector as double reflection (large angle).svg 542 × 380; 2 KB
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Rotation of a vector as double reflection (small angle).svg 408 × 460; 2 KB
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Samp id.png 350 × 350; 7 KB
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Sideway.gif 800 × 800; 1.07 MB
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SO(1) line.png 616 × 100; 5 KB
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SO(2) plane.png 484 × 529; 23 KB
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Solvable group.svg 225 × 153; 19 KB
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Spherical dihedral complex.svg 514 × 446; 41 KB
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Spherical functions.png 2,082 × 1,222; 359 KB
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Structure d'un groupe d'ordre 12.png 392 × 252; 29 KB
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Subgroup Lattice of D4.png 1,546 × 847; 58 KB
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Symmetriedreieck.pdf 1,947 × 1,514; 7 KB
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TAQ1764.PNG 742 × 224; 6 KB
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TreillisDesGroupesDeCurie.png 1,054 × 936; 30 KB
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Turnovergif.gif 800 × 800; 1.67 MB
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Weyl chambers.png 295 × 295; 4 KB
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Weyl chambers.svg 300 × 300; 1 KB
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Zyklische-gruppe.jpg 900 × 878; 58 KB
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Орбити.GIF 587 × 245; 6 KB