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arXiv · 1805.07664

Generating adjoint groups

Be'eri Greenfeld
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Abstract

We prove two approximations of the open problem of whether the adjoint group of a non-nilpotent nil ring can be finitely generated: We show that the adjoint group of a non-nilpotent Jacobson radical cannot be boundedly generated, and on the other hand construct a finitely generated, infinite dimensional nil algebra whose adjoint group is generated by elements of bounded torsion.

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Be'eri Greenfeld. 2018-10-01. Generating adjoint groups. https://arxiv.org/abs/1805.07664

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