Gilman's Conjecture
Abstract
We prove a conjecture made by Gilman in 1984 that the groups presented by finite, monadic, confluent rewriting systems are precisely the free products of free and finite groups.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2018
- DOI:
- 10.48550/arXiv.1806.06155
- arXiv:
- arXiv:1806.06155
- Bibcode:
- 2018arXiv180606155E
- Keywords:
-
- Mathematics - Group Theory;
- 20E06;
- 20F10;
- 68Q42;
- 20E08
- E-Print:
- 21 pages, 8 figures