Uniform Finite Generation of Threedimensional Linear Lie Groups
Uniform Finite Generation of Threedimensional Linear Lie Groups
A connected Lie group G is generated by one-parameter subgroups exp(tX 1 ), … , exp(tX k ) if every element of G can be written as a finite product of elements chosen from these subgroups. This happens just in case the Lie algebra of G is generated by the …