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Factor system information


In mathematics, a factor system (sometimes called factor set) is a fundamental tool of Otto Schreier’s classical theory for group extension problem.[1][2] It consists of a set of automorphisms and a binary function on a group satisfying certain condition (so-called cocycle condition). In fact, a factor system constitutes a realisation of the cocycles in the second cohomology group in group cohomology.[3]

  1. ^ group extension at the nLab
  2. ^ Saunders MacLane, Homology, p. 103, at Google Books
  3. ^ group cohomology at the nLab

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