# Second cohomology group for trivial group action of UT(3,3) on E9

From Groupprops

This article gives information about the second cohomology group for trivial group action (i.e., the second cohomology group with trivial action) of the group unitriangular matrix group:UT(3,3) on elementary abelian group:E9. The elements of this classify the group extensions with elementary abelian group:E9 in the center and unitriangular matrix group:UT(3,3) the corresponding quotient group. Specifically, these are precisely the central extensions with the given base group and acting group.

The value of this cohomology group is elementary abelian group:E6561.

Get more specific information about unitriangular matrix group:UT(3,3) |Get more specific information about elementary abelian group:E9|View other constructions whose value is elementary abelian group:E6561