Commit 2025-05-29 17:22 afd03ad4
View on Github →feat(RepresentationTheory/GroupCohomology/Functoriality): the degree 1 part of the inflation-restriction exact sequence (#22653)
Given a G
-representation A
and a normal subgroup S
of G
, this PR defines the inflation-restriction short complex
H¹(G ⧸ S, A^S) ⟶ H¹(G, A) ⟶ H¹(S, A)
induced by the natural inclusions S → G
, A^S → A
and projection G → G / S
. We proves it's exact, and that the lefthand map is a monomorphism.