# Transgression

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## Possible Answers: MISDEED.

### Random information on the term “Transgression”:

In algebraic topology, a transgression map is a way to transfer cohomology classes.It occurs, for example in the inflation-restriction exact sequence in group cohomology, and in integration in fibers. It also naturally arises in many spectral sequences; see spectral sequence#Edge maps and transgressions.

The transgression map appears in the inflation-restriction exact sequence, an exact sequence occurring in group cohomology. Let G be a group, N a normal subgroup, and A an abelian group which is equipped with an action of G, i.e., a homomorphism from G to the automorphism group of A. The quotient group G/N acts on AN = { a ∈ {\displaystyle \in } A : na = a for all n ∈ {\displaystyle \in } N}. Then the inflation-restriction exact sequence is:

The transgression map is the map H 1(N, A)G/N → H 2(G/N, AN)

Transgression is defined for general n