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- Factor_system abstract "In mathematics, a factor system is a function on a group giving the data required to construct an algebra. A factor system constitutes a realisation of the cocycles in the second cohomology group in group cohomology.Let G be a group and L a field on which G acts as automorphisms. A cocycle or factor system is a map c:G × G → L* satisfyingCocycles are equivalent if there exists some system of elements a : G → L* withCocycles of the formare called split. Cocycles under multiplication modulo split cocycles form a group, the second cohomology group H2(G,L*).".
- Factor_system wikiPageID "36433745".
- Factor_system wikiPageRevisionID "598297166".
- Factor_system hasPhotoCollection Factor_system.
- Factor_system subject Category:Cohomology_theories.
- Factor_system subject Category:Group_theory.
- Factor_system comment "In mathematics, a factor system is a function on a group giving the data required to construct an algebra. A factor system constitutes a realisation of the cocycles in the second cohomology group in group cohomology.Let G be a group and L a field on which G acts as automorphisms. A cocycle or factor system is a map c:G × G → L* satisfyingCocycles are equivalent if there exists some system of elements a : G → L* withCocycles of the formare called split.".
- Factor_system label "Factor system".
- Factor_system sameAs m.06w15c3.
- Factor_system sameAs Q5428731.
- Factor_system sameAs Q5428731.
- Factor_system wasDerivedFrom Factor_system?oldid=598297166.
- Factor_system isPrimaryTopicOf Factor_system.