Unitriangular matrix group:UT(3,3)

Definition
This group is defined in the following equivalent ways:


 * 1) It is the unique (up to isomorphism) non-abelian group of order $$27$$ and exponent $$3$$.
 * 2) It is the member of family::unitriangular matrix group of degree three over the field of three elements.
 * 3) It is the member of family::inner automorphism group of wreath product of groups of order p for $$p = 3$$.
 * 4) It is the member of family::Burnside group $$B(2,3)$$: the quotient of the free group of rank two by the subgroup generated by all cubes in the group.

Related pages
UT(3,$\_$) , UT(4,$\_$) , UT(3, p) , UT(4, 2 ) , UT(4, 3 ) , UT(4, p ).