Source-pinned research
Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.
This index contains 20 research declarations. Search 10,000 more complete Mathlib declarations.
20 results
Clear filtersRep.split.τ_property
Plain-language statement
Given a 2-cocycle σ, the image of σ in the splitting module of σ is equal to the coboundary of τ σ.
Source project: Class Field Theory
Person-level attribution pending.
Rep.TrivialTateCohomology.of_cases
Plain-language statement
To check that a finite group has trivial Tate cohomology, it's enough to show it has trivial cohomology and trivial homology, and that the 0-th and -1st Tate cohomology groups are trivial.
Source project: Class Field Theory
Person-level attribution pending.