arXiv subjects

Donald S. Passman

Publications and source records attributed to Donald S. Passman.

2 recordsLinked to original sources

arXiv2021

On the counterexamples to the unit conjecture for group rings

We offer two comments on the beautiful papers of Giles Gardam and Alan Murray that yield counterexamples to the Kaplansky unit conjecture. First we discuss the determinants of these units in a certain $4\times 4$ matrix representation of the group ring. Then we explain why there is a doubly infinite family of units in the Murray paper.

math.RA↗

arXiv2019

Finite Presentation

This paper surveys basic properties of finite presentation in groups, Lie algebras and rings. It includes some new results and also new, more elementary proofs, of some results that are already in the literature. In particular, we discuss examples of Stallings and of Roos on coherence by using a purely algebraic, nonhomological, approach.

math.RA↗