Inflation–Restriction Exact Sequence

A low-degree exact sequence in group cohomology relating the cohomology of a group G, a normal subgroup N, and the quotient Q = G/N via the inflation and restriction maps; it is obtained as the edge sequence of the Hochschild–Serre spectral sequence and supplies exact relations among H^i(Q, M^N), H^i(G,M) and H^i(N,M)^{Q} in small degrees.