Adam Piggott – Piggott, Adam. “On Groups Presented by Monadic Rewriting Systems with Generators of Finite Order.” Bulletin of the Australian Mathematical Society 91, no. 3 (2015) : 426-434.

Adam Piggott, Associate Professor of Mathematics

We prove that the groups presented by finite convergent monadic rewriting systems with generators of finite order are exactly the free products of finitely many finite groups, thereby confirming Gilman’s Conjecture in a special case. We also prove that the finite cyclic groups of order at least three are the only finite groups admitting a presentation by more than one finite convergent monadic rewriting system (up to relabeling), and these admit presentation by exactly two such rewriting systems.

Piggott, Adam. “On Groups Presented by Monadic Rewriting Systems with Generators of Finite Order.” Bulletin of the Australian Mathematical Society 91, no. 3 (2015) : 426-434.

Comments are closed.

Close

Places I've Been

The following links are virtual breadcrumbs marking the 12 most recent pages you have visited in Bucknell.edu. If you want to remember a specific page forever click the pin in the top right corner and we will be sure not to replace it. Close this message.