One parameter submonoids in locally compact differentiable monoids

Mitch Anderson
1989 Proceedings of the American Mathematical Society  
Differentiable semigroups based on generalized manifolds were recently introduced by George Graham. We show that such locally compact monoids in which the multiplication is strongly differentiable at (1,1) must contain nontrivial one parameter submonoids.
doi:10.1090/s0002-9939-1989-0946630-5 fatcat:g7us4rnnfjhqnig2vwsgabtore