Infinity and Beyond

To Infinity and Beyond

We prove that if a group generated by a bireversible Mealy automaton contains an element of infinite order, its growth blows up and is necessarily exponential. As a direct consequence, no infinite virtually nilpotent group can be generated by a bireversible Mealy automaton. The study on how (semi)groups grow has been highlighted since Milnor’s question on the existence of groups of intermediate...

To Infinity and Beyond

Computer algebra systems (CAS) are sometimes expected to compute with infinities symbolically. Since operations on such objects do not always conform to a sufficient and consistent set of rules for ordinary arithmetic, some compromises are necessary. We discuss a few options and implementations.

To infinity, and beyond!

Serendipity Based Medicine (SBM): To Infinity and Beyond *Corresponding author

Serendipity Based Medicine (SBM): To Infinity and Beyond