Groups with context-free Diophantine problemArticleAuthors: Vladimir Yankovskiy

0000-0002-6013-6319
Vladimir Yankovskiy
We find algebraic conditions on a group equivalent to the position of its Diophantine problem in the Chomsky Hierarchy. In particular, we prove that a finitely generated group has a context-free Diophantine problem if and only if it is finite.
Comment: 6 pages
Volume: Volume 13, Issue 1
Published on: August 26, 2021
Accepted on: August 25, 2021
Submitted on: April 11, 2021
Keywords: Mathematics - Group Theory, Computer Science - Formal Languages and Automata Theory, 20F10 (Primary) 03D40, 20F70 (Secondary), F.4.3