Quotient of UT(3,Q) by a central Z
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The group described here is a quotient group of unitriangular matrix group:UT(3,Q) by a central subgroup isomorphic to the group of integers, which we can think of as a Z in Q inside the center, which is a copy of . Explicitly, it is matrices of the form:
with the matrix multiplication defined as:
where is understood to be the image of under the quotient map .
|exponent||infinite (elements of infinite order)|