Revision #564 → #1277 · back to history
addedGroup action351fb244f915
addedRepresentation of a groupee76107a7b79
addedSymmetric group acts by permutationac65ab81ea06
addedLeft group action58366cdcb833
addedAction as homomorphism into symmetric group5d002e9bead9
addedRight group action656470f56360
addedRelation between left and right actionsf1f832a30c53
addedFaithful (effective) action3dd236482631
addedFree action2cc264f968f6
addedGroup acting on itself is free (Cayley)9be66343f2b1
addedTransitive actione03d4d1751bd
addedSimply transitive (regular) action8de4d4600fd9
addedn-transitive action4e30f9c54dc8
addedSharply n-transitive actionc27f60b8f9c5
addedSymmetric/alternating group transitivityda8564ff126c
addedGeneral linear group action on nonzero vectorscbd3cc3925f1
addedPrimitive action5d79216fd460
addedWandering action0afe1d890325
addedPoint of discontinuity75c4e08ba723
addedProperly discontinuous actionc4d5252ddc36
addedFreely discontinuous actionad468d1c86e2
addedCocompact action7a670b632f60
addedContinuous actionfead3d2b13b4
addedProper actionaf437fa10654
addedLocally free actione9a022eb8d9a
addedStrongly continuous actionc516d4b7af44
addedSmooth points / Lie group action4ea916a5e310
addedIrreducible action92674635c43a
addedSemisimple action3ee25c6b77dd
addedOrbits partition the set46859f0dedc2
addedTransitive iff one orbita270eebb7137
addedQuotient of the action906ba2f59e63
addedInvariant subset88f1bbeef98c
addedFixed subsetaa0ba39caa22
addedOrbits are invariant subsetsddd7b072f9a6
addedG-invariant elemente64e68fabee1
addedFixed point of an element7fecb240d1b7
addedStabilizer subgroupa37227672d67
addedStabilizers along an orbit are conjugate7a6cff912b88
addedOrbit type / principal orbit typea4d2b95e3383
addedOrbit–stabilizer theoremf289b22ddee7
addedOrbit length divides group order0f9fc6627d6e
addedPrime-order action fixed-point countc13cf7fbe784
addedCounting cube graph automorphismsb2538903d98e
addedBurnside's lemma4bb8a6c31380
addedBurnside ring69535269642f
addedTrivial actionbffe08e93bcd
addedLeft multiplication on itself11745a2524b6
addedLeft multiplication on cosets8db5e9f3c0a0
addedConjugation action85f8ba1a7ef4
addedConjugation on conjugates of a subgroup06ef3ff5fed5
addedAction of Z as an automorphism23a69461ba2b
addedSymmetric group on {1,...,n}57a56eee012a
addedSymmetry group of a polyhedron34608a606fa5
addedSymmetry group of a geometric object188bf45adb3a
addedScalar multiplicationf99918491b76
addedAutomorphism group action5c23eab91086
addedGeneral linear group on K^nadd636820b3b
addedGL(n,Z) acting on Z^n3524d81fd102
addedAffine group on affine space99c7a6f0a9bb
addedProjective linear group on projective spaceb0e1ba71ac4b
addedIsometries on images and patterns30c12fa040e2
addedCategory of G-sets398a7ba11287
addedGalois group on a fielda9cada866e2a
addedReals acting by time translation7ad55c3e2297
addedReals acting on real functions489db92a2398
addedInduced action on the power set2ceb436d7840
addedUnit quaternions acting on R^344e69d14f482
addedExponential object of G-sets4c62f3014a47
addedAction groupoid4198f868bafc
addedMorphism of G-sets (equivariant map)b1ae753b4f40
addedIsomorphism of G-sets7d37a9572866
addedClassification of regular/free/transitive actions8227516ea5b7
addedG-sets form a Grothendieck toposae9878fa8096
addedMonoid actions9571b691f0e2
addedActions on objects of a categorycf85ae469760
addedGroup action as a functor0b1713be0df3