First-order model theory and Kaplansky's stable finiteness conjecture

Autor:	Ceccherini-Silberstein, Tullio, Coornaert, Michel, Phung, Xuan Kien
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Logic Mathematics - Rings and Algebras 03C98 20E07 37B15 14A10 68Q80
Druh dokumentu:	Working Paper
Popis:	Using algebraic geometry methods, the third author proved that the group ring of a surjunctive group with coefficients in a field is always stably finite. In other words, every group satisfying Gottschalk's conjecture also satisfies Kaplansky's stable finiteness conjecture. Here we present an alternative proof of this result based on first-order model theory.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.09451 Zobrazit plný text záznamu View this record from Arxiv