On groups with cubic polynomial conditions
Group Theory
2015-05-12 v2
Abstract
Given a finitely generated subgroup G of a ring R we provide a finite subset of G such that if each element of this set satisfies some cubic polynomial equation in one variable over the center Z of R then the subring generated by G has finite Z-rank. We specialize our considerations to the case where the polynomial equations are equal to (x-1)^3=0.
Cite
@article{arxiv.1401.5114,
title = {On groups with cubic polynomial conditions},
author = {A. Grishkov and R. Oliveira and S. Sidki},
journal= {arXiv preprint arXiv:1401.5114},
year = {2015}
}
Comments
Statements and proofs in the previous version have been corrected or modified