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

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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